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105545000 = 23541119101
BaseRepresentation
bin1100100101001…
…11110100101000
321100121020112002
412102213310220
5204004420000
614250110132
72421055241
oct622476450
9240536462
10105545000
1154639580
122b41b348
1318b35682
1410035cc8
1593ec8d5
hex64a7d28

105545000 has 160 divisors (see below), whose sum is σ = 286783200. Its totient is φ = 36000000.

The previous prime is 105544973. The next prime is 105545059. The reversal of 105545000 is 545501.

It is a super-2 number, since 2×1055450002 = 22279494050000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044950 + ... + 1045050.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2105545000 is an apocalyptic number.

105545000 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 105545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143391600).

105545000 is an abundant number, since it is smaller than the sum of its proper divisors (181238200).

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

105545000 is a wasteful number, since it uses less digits than its factorization.

105545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 105545000 is about 10273.5096242715. The cubic root of 105545000 is about 472.5842258148.

The spelling of 105545000 in words is "one hundred five million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 101 110 125 152 190 200 202 209 220 250 275 380 404 418 440 475 500 505 550 625 760 808 836 950 1000 1010 1045 1100 1111 1250 1375 1672 1900 1919 2020 2090 2200 2222 2375 2500 2525 2750 3800 3838 4040 4180 4444 4750 5000 5050 5225 5500 5555 6875 7676 8360 8888 9500 9595 10100 10450 11000 11110 11875 12625 13750 15352 19000 19190 20200 20900 21109 22220 23750 25250 26125 27500 27775 38380 41800 42218 44440 47500 47975 50500 52250 55000 55550 63125 76760 84436 95000 95950 101000 104500 105545 111100 126250 130625 138875 168872 191900 209000 211090 222200 239875 252500 261250 277750 383800 422180 479750 505000 522500 527725 555500 694375 844360 959500 1045000 1055450 1111000 1199375 1388750 1919000 2110900 2398750 2638625 2777500 4221800 4797500 5277250 5555000 9595000 10554500 13193125 21109000 26386250 52772500 105545000