108390816 has 72 divisors (see below), whose sum is σ = 309369060. Its totient is φ = 35997696.

The previous prime is 108390811. The next prime is 108390823. The reversal of 108390816 is 618093801.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 646416 = 10380^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (108390811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106920 + ... + 107928.

Almost surely, 2^108390816 is an apocalyptic number.

108390816 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 108390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154684530).

108390816 is an abundant number, since it is smaller than the sum of its proper divisors (200978244).

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

108390816 is a wasteful number, since it uses less digits than its factorization.

108390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108390816 is about 10411.0910091114. The cubic root of 108390816 is about 476.7940516202.

The spelling of 108390816 in words is "one hundred eight million, three hundred ninety thousand, eight hundred sixteen".