102987456 has 224 divisors, whose sum is σ = 333182976. Its totient is φ = 27878400.

The previous prime is 102987433. The next prime is 102987503. The reversal of 102987456 is 654789201.

It is a congruent number.

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, 3322161 + ... + 3322191.

It is an arithmetic number, because the mean of its divisors is an integer number (1487424).

Almost surely, 2^102987456 is an apocalyptic number.

102987456 is a gapful number since it is divisible by the number (16) 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 102987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166591488).

102987456 is an abundant number, since it is smaller than the sum of its proper divisors (230195520).

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

102987456 is a wasteful number, since it uses less digits than its factorization.

102987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 102987456 is about 10148.2735477519. The cubic root of 102987456 is about 468.7357846711.

The spelling of 102987456 in words is "one hundred two million, nine hundred eighty-seven thousand, four hundred fifty-six".