100295580672 has 704 divisors, whose sum is σ = 356760985600. Its totient is φ = 27232174080.

The previous prime is 100295580647. The next prime is 100295580677. The reversal of 100295580672 is 276085592001.

100295580672 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 9 + 5 + 580 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100295580677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437971854 + ... + 437972082.

Almost surely, 2^100295580672 is an apocalyptic number.

100295580672 is a gapful number since it is divisible by the number (12) 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 100295580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178380492800).

100295580672 is an abundant number, since it is smaller than the sum of its proper divisors (256465404928).

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

100295580672 is a wasteful number, since it uses less digits than its factorization.

100295580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 100295580672 in words is "one hundred billion, two hundred ninety-five million, five hundred eighty thousand, six hundred seventy-two".