102806057232 has 60 divisors (see below), whose sum is σ = 287789723260. Its totient is φ = 34259687424.

The previous prime is 102806057209. The next prime is 102806057239. The reversal of 102806057232 is 232750608201.

102806057232 is a `hidden beast` number, since 1 + 0 + 2 + 80 + 6 + 0 + 572 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54913360896 + 47892696336 = 234336^2 + 218844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102806057239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468228 + ... + 651804.

Almost surely, 2^102806057232 is an apocalyptic number.

102806057232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102806057232 is an abundant number, since it is smaller than the sum of its proper divisors (184983666028).

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

102806057232 is a wasteful number, since it uses less digits than its factorization.

102806057232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187480 (or 187471 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 102806057232 in words is "one hundred two billion, eight hundred six million, fifty-seven thousand, two hundred thirty-two".