100294972638960 has 960 divisors, whose sum is σ = 368889890535936. Its totient is φ = 22276875878400.

The previous prime is 100294972638893. The next prime is 100294972638967. The reversal of 100294972638960 is 69836279492001.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 100294972638891 and 100294972638900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100294972638967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16514894484 + ... + 16514900556.

Almost surely, 2^{100294972638960} is an apocalyptic number.

100294972638960 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 100294972638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184444945267968).

100294972638960 is an abundant number, since it is smaller than the sum of its proper divisors (268594917896976).

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

100294972638960 is a wasteful number, since it uses less digits than its factorization.

100294972638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 100294972638960 in words is "one hundred trillion, two hundred ninety-four billion, nine hundred seventy-two million, six hundred thirty-eight thousand, nine hundred sixty".