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107099856 = 24325314033
BaseRepresentation
bin1100110001000…
…11011011010000
321110112020101100
412120203123100
5204404143411
614343304400
72440222323
oct630433320
9243466340
10107099856
1155500786
122ba4b100
131925b2c6
141031c7ba
159608456
hex66236d0

107099856 has 60 divisors (see below), whose sum is σ = 305407908. Its totient is φ = 35023872.

The previous prime is 107099843. The next prime is 107099857. The reversal of 107099856 is 658990701.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 64641600 = 6516^2 + 8040^2 .

It is a super-2 number, since 2×1070998562 = 22940758310441472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107099857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616 + ... + 14648.

Almost surely, 2107099856 is an apocalyptic number.

107099856 is a gapful number since it is divisible by the number (16) 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 107099856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152703954).

107099856 is an abundant number, since it is smaller than the sum of its proper divisors (198308052).

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

107099856 is a wasteful number, since it uses less digits than its factorization.

107099856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14100 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 107099856 is about 10348.9060291414. The cubic root of 107099856 is about 474.8935768965.

The spelling of 107099856 in words is "one hundred seven million, ninety-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 14033 28066 42099 56132 84198 112264 126297 168396 224528 252594 336792 505188 673584 743749 1010376 1487498 2020752 2231247 2974996 4462494 5949992 6693741 8924988 11899984 13387482 17849976 26774964 35699952 53549928 107099856