100010813 has 48 divisors (see below), whose sum is σ = 132969600. Its totient is φ = 74511360.

The previous prime is 100010791. The next prime is 100010843. The reversal of 100010813 is 318010001.

It is not a de Polignac number, because 100010813 - 2⁶ = 100010749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123673 + ... + 1123761.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^100010813 is an apocalyptic number.

It is an amenable number.

100010813 is a deficient number, since it is larger than the sum of its proper divisors (32958787).

100010813 is a wasteful number, since it uses less digits than its factorization.

100010813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 100010813 is about 10000.5406353857. The cubic root of 100010813 is about 464.1756125917.

Adding to 100010813 its reverse (318010001), we get a palindrome (418020814).

The spelling of 100010813 in words is "one hundred million, ten thousand, eight hundred thirteen".