102157440 has 256 divisors, whose sum is σ = 406563840. Its totient is φ = 21196800.

The previous prime is 102157439. The next prime is 102157453. The reversal of 102157440 is 44751201.

It is a super-2 number, since 2×102157440² = 20872285094707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102157440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147495 + ... + 148185.

It is an arithmetic number, because the mean of its divisors is an integer number (1588140).

Almost surely, 2^102157440 is an apocalyptic number.

102157440 is a gapful number since it is divisible by the number (10) 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 102157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203281920).

102157440 is an abundant number, since it is smaller than the sum of its proper divisors (304406400).

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

102157440 is a wasteful number, since it uses less digits than its factorization.

102157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 102157440 is about 10107.2963744020. The cubic root of 102157440 is about 467.4731451492.

The spelling of 102157440 in words is "one hundred two million, one hundred fifty-seven thousand, four hundred forty".