10000913100 has 144 divisors (see below), whose sum is σ = 29967415296. Its totient is φ = 2572416000.

The previous prime is 10000913089. The next prime is 10000913137. The reversal of 10000913100 is 131900001.

It is a super-2 number, since 2×10000913100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10000913100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132505 + ... + 3135695.

Almost surely, 2^10000913100 is an apocalyptic number.

10000913100 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 10000913100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14983707648).

10000913100 is an abundant number, since it is smaller than the sum of its proper divisors (19966502196).

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

10000913100 is a wasteful number, since it uses less digits than its factorization.

10000913100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The spelling of 10000913100 in words is "ten billion, nine hundred thirteen thousand, one hundred".