102874816 has 56 divisors (see below), whose sum is σ = 234452160. Its totient is φ = 44294400.

The previous prime is 102874801. The next prime is 102874823. The reversal of 102874816 is 618478201.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9531 + ... + 17221.

Almost surely, 2^102874816 is an apocalyptic number.

102874816 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 102874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117226080).

102874816 is an abundant number, since it is smaller than the sum of its proper divisors (131577344).

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

102874816 is a wasteful number, since it uses less digits than its factorization.

102874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7733 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 102874816 is about 10142.7223170113. The cubic root of 102874816 is about 468.5648329147.

The spelling of 102874816 in words is "one hundred two million, eight hundred seventy-four thousand, eight hundred sixteen".