102181856 has 36 divisors (see below), whose sum is σ = 234018288. Its totient is φ = 43791552.

The previous prime is 102181843. The next prime is 102181873. The reversal of 102181856 is 658181201.

It is a super-2 number, since 2×102181856² = 20882263391209472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 31016 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (6500508).

Almost surely, 2^102181856 is an apocalyptic number.

102181856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102181856 is an abundant number, since it is smaller than the sum of its proper divisors (131836432).

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

102181856 is an equidigital number, since it uses as much as digits as its factorization.

102181856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65191 (or 65176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The square root of 102181856 is about 10108.5041425524. The cubic root of 102181856 is about 467.5103847770.

The spelling of 102181856 in words is "one hundred two million, one hundred eighty-one thousand, eight hundred fifty-six".