102688872 has 64 divisors (see below), whose sum is σ = 301613760. Its totient is φ = 28723200.

The previous prime is 102688871. The next prime is 102688879. The reversal of 102688872 is 278886201.

It is not an unprimeable number, because it can be changed into a prime (102688871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11529 + ... + 18392.

It is an arithmetic number, because the mean of its divisors is an integer number (4712715).

Almost surely, 2^102688872 is an apocalyptic number.

102688872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102688872 is an abundant number, since it is smaller than the sum of its proper divisors (198924888).

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

102688872 is a wasteful number, since it uses less digits than its factorization.

102688872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29954 (or 29950 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 102688872 is about 10133.5517958907. The cubic root of 102688872 is about 468.2823557296.

It can be divided in two parts, 1026 and 88872, that added together give a palindrome (89898).

The spelling of 102688872 in words is "one hundred two million, six hundred eighty-eight thousand, eight hundred seventy-two".