102805416 has 64 divisors (see below), whose sum is σ = 326371200. Its totient is φ = 29372544.

The previous prime is 102805411. The next prime is 102805429. The reversal of 102805416 is 614508201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102805416.

It is not an unprimeable number, because it can be changed into a prime (102805411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32485 + ... + 35508.

It is an arithmetic number, because the mean of its divisors is an integer number (5099550).

Almost surely, 2^102805416 is an apocalyptic number.

It is an amenable number.

102805416 is an abundant number, since it is smaller than the sum of its proper divisors (223565784).

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

102805416 is a wasteful number, since it uses less digits than its factorization.

102805416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68015 (or 68005 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102805416 is about 10139.3005675934. The cubic root of 102805416 is about 468.4594436148.

The spelling of 102805416 in words is "one hundred two million, eight hundred five thousand, four hundred sixteen".