100793947531200 has 672 divisors, whose sum is σ = 412336464396288. Its totient is φ = 20941659648000.

The previous prime is 100793947531187. The next prime is 100793947531241. The reversal of 100793947531200 is 2135749397001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5954617137 + ... + 5954634063.

Almost surely, 2^{100793947531200} is an apocalyptic number.

100793947531200 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 100793947531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206168232198144).

100793947531200 is an abundant number, since it is smaller than the sum of its proper divisors (311542516865088).

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

100793947531200 is a wasteful number, since it uses less digits than its factorization.

100793947531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33081 (or 33066 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 100793947531200 in words is "one hundred trillion, seven hundred ninety-three billion, nine hundred forty-seven million, five hundred thirty-one thousand, two hundred".