102971952 has 40 divisors (see below), whose sum is σ = 295568880. Its totient is φ = 34323840.

The previous prime is 102971929. The next prime is 102971959. The reversal of 102971952 is 259179201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102971959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118749 + ... + 119612.

It is an arithmetic number, because the mean of its divisors is an integer number (7389222).

Almost surely, 2^102971952 is an apocalyptic number.

102971952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102971952 is an abundant number, since it is smaller than the sum of its proper divisors (192596928).

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

102971952 is a wasteful number, since it uses less digits than its factorization.

102971952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238378 (or 238366 counting only the distinct ones).

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

The square root of 102971952 is about 10147.5096452282. The cubic root of 102971952 is about 468.7122619219.

The spelling of 102971952 in words is "one hundred two million, nine hundred seventy-one thousand, nine hundred fifty-two".