102768832 has 28 divisors (see below), whose sum is σ = 209448400. Its totient is φ = 49994496.

The previous prime is 102768829. The next prime is 102768847. The reversal of 102768832 is 238867201.

It is a super-2 number, since 2×102768832² = 21122865661288448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 102768791 and 102768800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19332 + ... + 24067.

It is an arithmetic number, because the mean of its divisors is an integer number (7480300).

Almost surely, 2^102768832 is an apocalyptic number.

It is an amenable number.

102768832 is an abundant number, since it is smaller than the sum of its proper divisors (106679568).

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

102768832 is an equidigital number, since it uses as much as digits as its factorization.

102768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43448 (or 43438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 102768832 is about 10137.4963378538. The cubic root of 102768832 is about 468.4038688722.

The spelling of 102768832 in words is "one hundred two million, seven hundred sixty-eight thousand, eight hundred thirty-two".