102864216 has 96 divisors (see below), whose sum is σ = 318332160. Its totient is φ = 27121536.

The previous prime is 102864191. The next prime is 102864253. The reversal of 102864216 is 612468201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26581 + ... + 30203.

It is an arithmetic number, because the mean of its divisors is an integer number (3315960).

Almost surely, 2^102864216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102864216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159166080).

102864216 is an abundant number, since it is smaller than the sum of its proper divisors (215467944).

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

102864216 is a wasteful number, since it uses less digits than its factorization.

102864216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 102864216 is about 10142.1997613930. The cubic root of 102864216 is about 468.5487390574.

The spelling of 102864216 in words is "one hundred two million, eight hundred sixty-four thousand, two hundred sixteen".