100100913 has 32 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 56540160.

The previous prime is 100100887. The next prime is 100100927. The reversal of 100100913 is 319001001.

It is not a de Polignac number, because 100100913 - 2⁶ = 100100849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100892 and 100100901.

It is not an unprimeable number, because it can be changed into a prime (100100713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60331 + ... + 61967.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^100100913 is an apocalyptic number.

It is an amenable number.

100100913 is a deficient number, since it is larger than the sum of its proper divisors (55574607).

100100913 is a wasteful number, since it uses less digits than its factorization.

100100913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777.

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

The square root of 100100913 is about 10005.0443777127. The cubic root of 100100913 is about 464.3149630895.

Adding to 100100913 its reverse (319001001), we get a palindrome (419101914).

The spelling of 100100913 in words is "one hundred million, one hundred thousand, nine hundred thirteen".