100964136400 has 60 divisors (see below), whose sum is σ = 244476431872. Its totient is φ = 40067637120.

The previous prime is 100964136373. The next prime is 100964136407. The reversal of 100964136400 is 4631469001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100964136407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942942 + ... + 1044541.

Almost surely, 2^100964136400 is an apocalyptic number.

100964136400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100964136400 is an abundant number, since it is smaller than the sum of its proper divisors (143512295472).

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

100964136400 is a wasteful number, since it uses less digits than its factorization.

100964136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987628 (or 1987617 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 100964136400 in words is "one hundred billion, nine hundred sixty-four million, one hundred thirty-six thousand, four hundred".