100115260560 has 480 divisors, whose sum is σ = 406646472960. Its totient is φ = 21562785792.

The previous prime is 100115260493. The next prime is 100115260571. The reversal of 100115260560 is 65062511001.

It is a happy number.

100115260560 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 52 + 605 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18478972 + ... + 18484388.

It is an arithmetic number, because the mean of its divisors is an integer number (847180152).

Almost surely, 2^100115260560 is an apocalyptic number.

100115260560 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 100115260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203323236480).

100115260560 is an abundant number, since it is smaller than the sum of its proper divisors (306531212400).

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

100115260560 is a wasteful number, since it uses less digits than its factorization.

100115260560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 100115260560 its reverse (65062511001), we get a palindrome (165177771561).

The spelling of 100115260560 in words is "one hundred billion, one hundred fifteen million, two hundred sixty thousand, five hundred sixty".