100113655460 has 192 divisors, whose sum is σ = 262838145024. Its totient is φ = 31187289600.

The previous prime is 100113655451. The next prime is 100113655507. The reversal of 100113655460 is 64556311001.

It is a super-3 number, since 3×100113655460³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46978595 + ... + 46980725.

It is an arithmetic number, because the mean of its divisors is an integer number (1368948672).

Almost surely, 2^100113655460 is an apocalyptic number.

100113655460 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 100113655460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131419072512).

100113655460 is an abundant number, since it is smaller than the sum of its proper divisors (162724489564).

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

100113655460 is a wasteful number, since it uses less digits than its factorization.

100113655460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 100113655460 its reverse (64556311001), we get a palindrome (164669966461).

The spelling of 100113655460 in words is "one hundred billion, one hundred thirteen million, six hundred fifty-five thousand, four hundred sixty".