102890624 has 32 divisors (see below), whose sum is σ = 215770800. Its totient is φ = 48736512.

The previous prime is 102890621. The next prime is 102890629. The reversal of 102890624 is 426098201.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (102890621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18722 + ... + 23585.

Almost surely, 2^102890624 is an apocalyptic number.

It is an amenable number.

102890624 is an abundant number, since it is smaller than the sum of its proper divisors (112880176).

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

102890624 is an equidigital number, since it uses as much as digits as its factorization.

102890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42340 (or 42328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 102890624 is about 10143.5015650415. The cubic root of 102890624 is about 468.5888319646.

The spelling of 102890624 in words is "one hundred two million, eight hundred ninety thousand, six hundred twenty-four".