100964096400 has 120 divisors (see below), whose sum is σ = 325564105024. Its totient is φ = 26745408000.

The previous prime is 100964096341. The next prime is 100964096413. The reversal of 100964096400 is 4690469001.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97399 + ... + 459798.

Almost surely, 2^100964096400 is an apocalyptic number.

100964096400 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 100964096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162782052512).

100964096400 is an abundant number, since it is smaller than the sum of its proper divisors (224600008624).

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

100964096400 is a wasteful number, since it uses less digits than its factorization.

100964096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557369 (or 557358 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 100964096400 in words is "one hundred billion, nine hundred sixty-four million, ninety-six thousand, four hundred".