100515272 has 64 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 41126400.

The previous prime is 100515257. The next prime is 100515307. The reversal of 100515272 is 272515001.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45833 + ... + 47975.

It is an arithmetic number, because the mean of its divisors is an integer number (3545640).

Almost surely, 2^100515272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100515272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

100515272 is an abundant number, since it is smaller than the sum of its proper divisors (126405688).

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

100515272 is a wasteful number, since it uses less digits than its factorization.

100515272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 100515272 is about 10025.7304970760. The cubic root of 100515272 is about 464.9547448924.

The spelling of 100515272 in words is "one hundred million, five hundred fifteen thousand, two hundred seventy-two".