100179024072 has 16 divisors (see below), whose sum is σ = 250447560240. Its totient is φ = 33393008016.

The previous prime is 100179024031. The next prime is 100179024083. The reversal of 100179024072 is 270420971001.

100179024072 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 2×100179024072² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2087062978 + ... + 2087063025.

It is an arithmetic number, because the mean of its divisors is an integer number (15652972515).

Almost surely, 2^100179024072 is an apocalyptic number.

100179024072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100179024072 is an abundant number, since it is smaller than the sum of its proper divisors (150268536168).

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

100179024072 is a wasteful number, since it uses less digits than its factorization.

100179024072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174126012 (or 4174126008 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

Adding to 100179024072 its reverse (270420971001), we get a palindrome (370599995073).

The spelling of 100179024072 in words is "one hundred billion, one hundred seventy-nine million, twenty-four thousand, seventy-two".