100962061872 has 640 divisors, whose sum is σ = 342122102784. Its totient is φ = 24982831104.

The previous prime is 100962061867. The next prime is 100962061883. The reversal of 100962061872 is 278160269001.

100962061872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100962061872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 512497678 + ... + 512497874.

Almost surely, 2^100962061872 is an apocalyptic number.

100962061872 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 100962061872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171061051392).

100962061872 is an abundant number, since it is smaller than the sum of its proper divisors (241160040912).

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

100962061872 is a wasteful number, since it uses less digits than its factorization.

100962061872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 100962061872 in words is "one hundred billion, nine hundred sixty-two million, sixty-one thousand, eight hundred seventy-two".