108286416 has 80 divisors (see below), whose sum is σ = 355235200. Its totient is φ = 30938112.

The previous prime is 108286403. The next prime is 108286429. The reversal of 108286416 is 614682801.

108286416 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 8 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (108286403) and next prime (108286429).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14881 + ... + 20928.

It is an arithmetic number, because the mean of its divisors is an integer number (4440440).

Almost surely, 2^108286416 is an apocalyptic number.

108286416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

108286416 is an abundant number, since it is smaller than the sum of its proper divisors (246948784).

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

108286416 is a wasteful number, since it uses less digits than its factorization.

108286416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35833 (or 35821 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108286416 is about 10406.0759174628. The cubic root of 108286416 is about 476.6409227515.

The spelling of 108286416 in words is "one hundred eight million, two hundred eighty-six thousand, four hundred sixteen".