100937449872 has 120 divisors (see below), whose sum is σ = 324643775040. Its totient is φ = 28678106880.

The previous prime is 100937449841. The next prime is 100937449891. The reversal of 100937449872 is 278944739001.

100937449872 is a `hidden beast` number, since 10 + 0 + 9 + 3 + 74 + 498 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99279 + ... + 460142.

It is an arithmetic number, because the mean of its divisors is an integer number (2705364792).

Almost surely, 2^100937449872 is an apocalyptic number.

100937449872 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 100937449872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162321887520).

100937449872 is an abundant number, since it is smaller than the sum of its proper divisors (223706325168).

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

100937449872 is a wasteful number, since it uses less digits than its factorization.

100937449872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559621 (or 559612 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 100937449872 in words is "one hundred billion, nine hundred thirty-seven million, four hundred forty-nine thousand, eight hundred seventy-two".