108610416 has 160 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 32541696.

The previous prime is 108610379. The next prime is 108610427. The reversal of 108610416 is 614016801.

108610416 is a `hidden beast` number, since 1 + 0 + 8 + 610 + 41 + 6 = 666.

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 108610416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168591 + ... + 169233.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 2^108610416 is an apocalyptic number.

108610416 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 108610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

108610416 is an abundant number, since it is smaller than the sum of its proper divisors (236367504).

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

108610416 is a wasteful number, since it uses less digits than its factorization.

108610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108610416 is about 10421.6321178595. The cubic root of 108610416 is about 477.1158296297.

The spelling of 108610416 in words is "one hundred eight million, six hundred ten thousand, four hundred sixteen".