102915972 has 18 divisors (see below), whose sum is σ = 260148798. Its totient is φ = 34305312.

The previous prime is 102915971. The next prime is 102915973. The reversal of 102915972 is 279519201.

It is an interprime number because it is at equal distance from previous prime (102915971) and next prime (102915973).

It can be written as a sum of positive squares in only one way, i.e., 99321156 + 3594816 = 9966^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2858777 = 102915972 / (1 + 0 + 2 + 9 + 1 + 5 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (102915971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1429353 + ... + 1429424.

It is an arithmetic number, because the mean of its divisors is an integer number (14452711).

Almost surely, 2^102915972 is an apocalyptic number.

102915972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102915972 is an abundant number, since it is smaller than the sum of its proper divisors (157232826).

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

102915972 is a wasteful number, since it uses less digits than its factorization.

102915972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858787 (or 2858782 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 102915972 is about 10144.7509580078. The cubic root of 102915972 is about 468.6273091163.

The spelling of 102915972 in words is "one hundred two million, nine hundred fifteen thousand, nine hundred seventy-two".