102375972 has 54 divisors (see below), whose sum is σ = 274677858. Its totient is φ = 32039424.

The previous prime is 102375937. The next prime is 102376039. The reversal of 102375972 is 279573201.

It can be written as a sum of positive squares in 3 ways, for example, as 75064896 + 27311076 = 8664^2 + 5226^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 250104 + ... + 250512.

It is an arithmetic number, because the mean of its divisors is an integer number (5086627).

Almost surely, 2^102375972 is an apocalyptic number.

102375972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102375972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338929).

102375972 is an abundant number, since it is smaller than the sum of its proper divisors (172301886).

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

102375972 is a wasteful number, since it uses less digits than its factorization.

102375972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 102375972 is about 10118.1012052657. The cubic root of 102375972 is about 467.8062423879.

The spelling of 102375972 in words is "one hundred two million, three hundred seventy-five thousand, nine hundred seventy-two".