102816336 has 80 divisors (see below), whose sum is σ = 313376768. Its totient is φ = 28425600.

The previous prime is 102816269. The next prime is 102816359. The reversal of 102816336 is 633618201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5481 + ... + 15351.

Almost surely, 2^102816336 is an apocalyptic number.

102816336 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 102816336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156688384).

102816336 is an abundant number, since it is smaller than the sum of its proper divisors (210560432).

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

102816336 is a wasteful number, since it uses less digits than its factorization.

102816336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 102816336 is about 10139.8390519771. The cubic root of 102816336 is about 468.4760296281.

The spelling of 102816336 in words is "one hundred two million, eight hundred sixteen thousand, three hundred thirty-six".