100632944400 has 240 divisors, whose sum is σ = 333840329280. Its totient is φ = 25896499200.

The previous prime is 100632944387. The next prime is 100632944411. The reversal of 100632944400 is 4449236001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×100632944400² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3866631 + ... + 3892569.

It is an arithmetic number, because the mean of its divisors is an integer number (1391001372).

Almost surely, 2^100632944400 is an apocalyptic number.

100632944400 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 100632944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166920164640).

100632944400 is an abundant number, since it is smaller than the sum of its proper divisors (233207384880).

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

100632944400 is a wasteful number, since it uses less digits than its factorization.

100632944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26074 (or 26063 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 100632944400 in words is "one hundred billion, six hundred thirty-two million, nine hundred forty-four thousand, four hundred".