100815144 has 32 divisors (see below), whose sum is σ = 253329120. Its totient is φ = 33432896.

The previous prime is 100815133. The next prime is 100815157. The reversal of 100815144 is 441518001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5934 + ... + 15389.

It is an arithmetic number, because the mean of its divisors is an integer number (7916535).

Almost surely, 2^100815144 is an apocalyptic number.

It is an amenable number.

100815144 is an abundant number, since it is smaller than the sum of its proper divisors (152513976).

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

100815144 is a wasteful number, since it uses less digits than its factorization.

100815144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21529 (or 21525 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 100815144 is about 10040.6744793365. The cubic root of 100815144 is about 465.4166597267.

It can be divided in two parts, 10081 and 5144, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 100815144 in words is "one hundred million, eight hundred fifteen thousand, one hundred forty-four".