100116575440 has 160 divisors (see below), whose sum is σ = 281915956224. Its totient is φ = 32278609920.

The previous prime is 100116575399. The next prime is 100116575453. The reversal of 100116575440 is 44575611001.

It is a super-2 number, since 2×100116575440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 100116575396 and 100116575405.

It is a congruent number.

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, 12952857 + ... + 12960583.

Almost surely, 2^100116575440 is an apocalyptic number.

100116575440 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 100116575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140957978112).

100116575440 is an abundant number, since it is smaller than the sum of its proper divisors (181799380784).

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

100116575440 is a wasteful number, since it uses less digits than its factorization.

100116575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 100116575440 in words is "one hundred billion, one hundred sixteen million, five hundred seventy-five thousand, four hundred forty".