108977616 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 29030400.

The previous prime is 108977587. The next prime is 108977623. The reversal of 108977616 is 616779801.

It is a super-2 number, since 2×108977616² = 23752241578086912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534861 + ... + 1534931.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^108977616 is an apocalyptic number.

108977616 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 108977616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

108977616 is an abundant number, since it is smaller than the sum of its proper divisors (276711984).

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

108977616 is a wasteful number, since it uses less digits than its factorization.

108977616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 108977616 is about 10439.2344546906. The cubic root of 108977616 is about 477.6529170427.

The spelling of 108977616 in words is "one hundred eight million, nine hundred seventy-seven thousand, six hundred sixteen".