100957086720 has 1584 divisors, whose sum is σ = 459708382080. Its totient is φ = 20575420416.

The previous prime is 100957086677. The next prime is 100957086731. The reversal of 100957086720 is 27680759001.

100957086720 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 570 + 8 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5313530871 + ... + 5313530889.

Almost surely, 2^100957086720 is an apocalyptic number.

100957086720 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 100957086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229854191040).

100957086720 is an abundant number, since it is smaller than the sum of its proper divisors (358751295360).

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

100957086720 is a wasteful number, since it uses less digits than its factorization.

100957086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 100957086720 in words is "one hundred billion, nine hundred fifty-seven million, eighty-six thousand, seven hundred twenty".