100172151360 has 224 divisors, whose sum is σ = 353691870720. Its totient is φ = 26689388544.

The previous prime is 100172151349. The next prime is 100172151383. The reversal of 100172151360 is 63151271001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11460912 + ... + 11469648.

Almost surely, 2^100172151360 is an apocalyptic number.

100172151360 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 100172151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176845935360).

100172151360 is an abundant number, since it is smaller than the sum of its proper divisors (253519719360).

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

100172151360 is a wasteful number, since it uses less digits than its factorization.

100172151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 100172151360 in words is "one hundred billion, one hundred seventy-two million, one hundred fifty-one thousand, three hundred sixty".