102957372 has 96 divisors (see below), whose sum is σ = 323043840. Its totient is φ = 27682560.

The previous prime is 102957311. The next prime is 102957373. The reversal of 102957372 is 273759201.

102957372 is a `hidden beast` number, since 10 + 2 + 9 + 573 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102957373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8847 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (3365040).

Almost surely, 2^102957372 is an apocalyptic number.

102957372 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 102957372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161521920).

102957372 is an abundant number, since it is smaller than the sum of its proper divisors (220086468).

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

102957372 is a wasteful number, since it uses less digits than its factorization.

102957372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8040 counting only the distinct ones).

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

The square root of 102957372 is about 10146.7912169316. The cubic root of 102957372 is about 468.6901389158.

The spelling of 102957372 in words is "one hundred two million, nine hundred fifty-seven thousand, three hundred seventy-two".