100515144 has 32 divisors (see below), whose sum is σ = 259395840. Its totient is φ = 32424000.

The previous prime is 100515139. The next prime is 100515157. The reversal of 100515144 is 441515001.

It is a self number, because there is not a number n which added to its sum of digits gives 100515144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66807 + ... + 68294.

It is an arithmetic number, because the mean of its divisors is an integer number (8106120).

Almost surely, 2^100515144 is an apocalyptic number.

It is an amenable number.

100515144 is an abundant number, since it is smaller than the sum of its proper divisors (158880696).

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

100515144 is a wasteful number, since it uses less digits than its factorization.

100515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135141 (or 135137 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 100515144 is about 10025.7241134992. The cubic root of 100515144 is about 464.9545475286.

The spelling of 100515144 in words is "one hundred million, five hundred fifteen thousand, one hundred forty-four".