102368816 has 40 divisors (see below), whose sum is σ = 218509824. Its totient is φ = 46071360.

The previous prime is 102368809. The next prime is 102368821. The reversal of 102368816 is 618863201.

It is a congruent number.

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, 15305 + ... + 20951.

Almost surely, 2^102368816 is an apocalyptic number.

102368816 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 102368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109254912).

102368816 is an abundant number, since it is smaller than the sum of its proper divisors (116141008).

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

102368816 is a wasteful number, since it uses less digits than its factorization.

102368816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 102368816 is about 10117.7475754241. The cubic root of 102368816 is about 467.7953423710.

The spelling of 102368816 in words is "one hundred two million, three hundred sixty-eight thousand, eight hundred sixteen".