100444253410215 has 144 divisors (see below), whose sum is σ = 210447788563584. Its totient is φ = 43908626361600.

The previous prime is 100444253410201. The next prime is 100444253410243. The reversal of 100444253410215 is 512014352444001.

100444253410215 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 4 + 2 + 534 + 102 + 15 = 666.

It is not a de Polignac number, because 100444253410215 - 2¹⁴ = 100444253393831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100444253410215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10364421 + ... + 17558750.

It is an arithmetic number, because the mean of its divisors is an integer number (1461442976136).

Almost surely, 2^{100444253410215} is an apocalyptic number.

100444253410215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100444253410215 is an abundant number, since it is smaller than the sum of its proper divisors (110003535153369).

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

100444253410215 is a wasteful number, since it uses less digits than its factorization.

100444253410215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27923262 (or 27923246 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 100444253410215 in words is "one hundred trillion, four hundred forty-four billion, two hundred fifty-three million, four hundred ten thousand, two hundred fifteen".