100015152 has 40 divisors (see below), whose sum is σ = 260102400. Its totient is φ = 33115200.

The previous prime is 100015141. The next prime is 100015159. The reversal of 100015152 is 251510001.

It is not an unprimeable number, because it can be changed into a prime (100015159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 14147.

It is an arithmetic number, because the mean of its divisors is an integer number (6502560).

Almost surely, 2^100015152 is an apocalyptic number.

100015152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100015152 is an abundant number, since it is smaller than the sum of its proper divisors (160087248).

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

100015152 is a wasteful number, since it uses less digits than its factorization.

100015152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961 (or 13955 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 100015152 is about 10000.7575713043. The cubic root of 100015152 is about 464.1823252953.

Adding to 100015152 its reverse (251510001), we get a palindrome (351525153).

The spelling of 100015152 in words is "one hundred million, fifteen thousand, one hundred fifty-two".