100913484960 has 384 divisors, whose sum is σ = 359305632000. Its totient is φ = 26448408576.

The previous prime is 100913484941. The next prime is 100913484961. The reversal of 100913484960 is 69484319001.

100913484960 is a `hidden beast` number, since 100 + 9 + 1 + 3 + 484 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100913484961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82109626 + ... + 82110854.

It is an arithmetic number, because the mean of its divisors is an integer number (935691750).

Almost surely, 2^100913484960 is an apocalyptic number.

100913484960 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 100913484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179652816000).

100913484960 is an abundant number, since it is smaller than the sum of its proper divisors (258392147040).

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

100913484960 is a wasteful number, since it uses less digits than its factorization.

100913484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 100913484960 in words is "one hundred billion, nine hundred thirteen million, four hundred eighty-four thousand, nine hundred sixty".