100815813 has 32 divisors (see below), whose sum is σ = 176209920. Its totient is φ = 55747440.

The previous prime is 100815809. The next prime is 100815821. The reversal of 100815813 is 318518001.

100815813 is a `hidden beast` number, since 1 + 0 + 0 + 81 + 581 + 3 = 666.

It is not a de Polignac number, because 100815813 - 2² = 100815809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100815833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745 + ... + 14462.

It is an arithmetic number, because the mean of its divisors is an integer number (5506560).

Almost surely, 2^100815813 is an apocalyptic number.

It is an amenable number.

100815813 is a deficient number, since it is larger than the sum of its proper divisors (75394107).

100815813 is a wasteful number, since it uses less digits than its factorization.

100815813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17254 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 100815813 is about 10040.7077937763. The cubic root of 100815813 is about 465.4176892118.

The spelling of 100815813 in words is "one hundred million, eight hundred fifteen thousand, eight hundred thirteen".