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109985300 = 225219107541
BaseRepresentation
bin1101000111000…
…11111000010100
321122221211110122
412203203320110
5211124012200
614525211112
72503600565
oct643437024
9248854418
10109985300
11570a1647
1230a00a98
1319a2b779
141087016c
1599c8385
hex68e3e14

109985300 has 72 divisors (see below), whose sum is σ = 254046240. Its totient is φ = 41212800.

The previous prime is 109985299. The next prime is 109985321. The reversal of 109985300 is 3589901.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 203030 + ... + 203570.

It is an arithmetic number, because the mean of its divisors is an integer number (3528420).

Almost surely, 2109985300 is an apocalyptic number.

109985300 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 109985300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127023120).

109985300 is an abundant number, since it is smaller than the sum of its proper divisors (144060940).

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

109985300 is a wasteful number, since it uses less digits than its factorization.

109985300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 109985300 is about 10487.3876632839. The cubic root of 109985300 is about 479.1206411579.

The spelling of 109985300 in words is "one hundred nine million, nine hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 190 214 380 428 475 535 541 950 1070 1082 1900 2033 2140 2164 2675 2705 4066 5350 5410 8132 10165 10279 10700 10820 13525 20330 20558 27050 40660 41116 50825 51395 54100 57887 101650 102790 115774 203300 205580 231548 256975 289435 513950 578870 1027900 1099853 1157740 1447175 2199706 2894350 4399412 5499265 5788700 10998530 21997060 27496325 54992650 109985300