102640645400 has 96 divisors (see below), whose sum is σ = 247177818000. Its totient is φ = 39590853120.

The previous prime is 102640645321. The next prime is 102640645417. The reversal of 102640645400 is 4546046201.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4797527 + ... + 4818873.

Almost surely, 2^102640645400 is an apocalyptic number.

102640645400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102640645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123588909000).

102640645400 is an abundant number, since it is smaller than the sum of its proper divisors (144537172600).

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

102640645400 is a wasteful number, since it uses less digits than its factorization.

102640645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 102640645400 in words is "one hundred two billion, six hundred forty million, six hundred forty-five thousand, four hundred".