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1105445000 = 235411101199
BaseRepresentation
bin100000111100011…
…1100000010001000
32212001002102110102
41001320330002020
54230443220000
6301405304532
736252061502
oct10170740210
92761072412
101105445000
11517aa4210
1226a265148
1314803918a
14a6b58d72
15670ae3d5
hex41e3c088

1105445000 has 160 divisors (see below), whose sum is σ = 2867832000. Its totient is φ = 396000000.

The previous prime is 1105444999. The next prime is 1105445017. The reversal of 1105445000 is 5445011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5554901 + ... + 5555099.

It is an arithmetic number, because the mean of its divisors is an integer number (17923950).

Almost surely, 21105445000 is an apocalyptic number.

1105445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433916000).

1105445000 is an abundant number, since it is smaller than the sum of its proper divisors (1762387000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1105445000 is a wasteful number, since it uses less digits than its factorization.

1105445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1105445000 is about 33248.2330357570. The cubic root of 1105445000 is about 1033.9805749674.

The spelling of 1105445000 in words is "one billion, one hundred five million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 199 200 202 220 250 275 398 404 440 500 505 550 625 796 808 995 1000 1010 1100 1111 1250 1375 1592 1990 2020 2189 2200 2222 2500 2525 2750 3980 4040 4378 4444 4975 5000 5050 5500 5555 6875 7960 8756 8888 9950 10100 10945 11000 11110 12625 13750 17512 19900 20099 20200 21890 22220 24875 25250 27500 27775 39800 40198 43780 44440 49750 50500 54725 55000 55550 63125 80396 87560 99500 100495 101000 109450 111100 124375 126250 138875 160792 199000 200990 218900 221089 222200 248750 252500 273625 277750 401980 437800 442178 497500 502475 505000 547250 555500 694375 803960 884356 995000 1004950 1094500 1105445 1111000 1368125 1388750 1768712 2009900 2189000 2210890 2512375 2736250 2777500 4019800 4421780 5024750 5472500 5527225 5555000 8843560 10049500 10945000 11054450 12561875 20099000 22108900 25123750 27636125 44217800 50247500 55272250 100495000 110544500 138180625 221089000 276361250 552722500 1105445000