102420864 has 192 divisors, whose sum is σ = 363111840. Its totient is φ = 26984448.

The previous prime is 102420859. The next prime is 102420881. The reversal of 102420864 is 468024201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104344 + ... + 105320.

Almost surely, 2^102420864 is an apocalyptic number.

102420864 is a gapful number since it is divisible by the number (14) 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 102420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181555920).

102420864 is an abundant number, since it is smaller than the sum of its proper divisors (260690976).

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

102420864 is a wasteful number, since it uses less digits than its factorization.

102420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 102420864 is about 10120.3193625498. The cubic root of 102420864 is about 467.8746102824.

The spelling of 102420864 in words is "one hundred two million, four hundred twenty thousand, eight hundred sixty-four".