108916992 has 108 divisors (see below), whose sum is σ = 321972924. Its totient is φ = 35389440.

The previous prime is 108916957. The next prime is 108916993. The reversal of 108916992 is 299619801.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 68161536 = 6384^2 + 8256^2 .

It is a super-2 number, since 2×108916992² = 23725822292656128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108916993) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93888 + ... + 95040.

Almost surely, 2^108916992 is an apocalyptic number.

108916992 is a gapful number since it is divisible by the number (12) 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 108916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160986462).

108916992 is an abundant number, since it is smaller than the sum of its proper divisors (213055932).

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

108916992 is a wasteful number, since it uses less digits than its factorization.

108916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 108916992 is about 10436.3303895574. The cubic root of 108916992 is about 477.5643282028.

It can be divided in two parts, 1089 and 16992, that added together give a palindrome (18081).

The spelling of 108916992 in words is "one hundred eight million, nine hundred sixteen thousand, nine hundred ninety-two".