102357972 has 48 divisors (see below), whose sum is σ = 269028480. Its totient is φ = 33649344.

The previous prime is 102357971. The next prime is 102357973. The reversal of 102357972 is 279753201.

102357972 is a `hidden beast` number, since 10 + 2 + 3 + 579 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (102357971) and next prime (102357973).

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 (102357971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (5604760).

Almost surely, 2^102357972 is an apocalyptic number.

102357972 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 102357972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134514240).

102357972 is an abundant number, since it is smaller than the sum of its proper divisors (166670508).

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

102357972 is a wasteful number, since it uses less digits than its factorization.

102357972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13061 counting only the distinct ones).

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

The square root of 102357972 is about 10117.2116712066. The cubic root of 102357972 is about 467.7788238255.

The spelling of 102357972 in words is "one hundred two million, three hundred fifty-seven thousand, nine hundred seventy-two".