102087648 has 192 divisors, whose sum is σ = 328104000. Its totient is φ = 30689280.

The previous prime is 102087613. The next prime is 102087659. The reversal of 102087648 is 846780201.

102087648 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 7 + 648 = 666.

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

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, 685078 + ... + 685226.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 2^102087648 is an apocalyptic number.

102087648 is a gapful number since it is divisible by the number (18) 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 102087648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

102087648 is an abundant number, since it is smaller than the sum of its proper divisors (226016352).

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

102087648 is a wasteful number, since it uses less digits than its factorization.

102087648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102087648 is about 10103.8432291876. The cubic root of 102087648 is about 467.3666646737.

The spelling of 102087648 in words is "one hundred two million, eighty-seven thousand, six hundred forty-eight".