102864816 has 70 divisors (see below), whose sum is σ = 298848060. Its totient is φ = 34284384.

The previous prime is 102864799. The next prime is 102864829. The reversal of 102864816 is 618468201.

102864816 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 648 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7255 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (4269258).

Almost surely, 2^102864816 is an apocalyptic number.

102864816 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 102864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149424030).

102864816 is an abundant number, since it is smaller than the sum of its proper divisors (195983244).

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

102864816 is an frugal number, since it uses more digits than its factorization.

102864816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8845 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102864816 is about 10142.2293407318. The cubic root of 102864816 is about 468.5496500600.

The spelling of 102864816 in words is "one hundred two million, eight hundred sixty-four thousand, eight hundred sixteen".