108963216 has 30 divisors (see below), whose sum is σ = 304946070. Its totient is φ = 36321024.

The previous prime is 108963163. The next prime is 108963227. The reversal of 108963216 is 612369801.

108963216 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 632 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107744400 + 1218816 = 10380^2 + 1104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 378201 + ... + 378488.

It is an arithmetic number, because the mean of its divisors is an integer number (10164869).

Almost surely, 2^108963216 is an apocalyptic number.

108963216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

108963216 is an abundant number, since it is smaller than the sum of its proper divisors (195982854).

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

108963216 is a wasteful number, since it uses less digits than its factorization.

108963216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756703 (or 756694 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 108963216 is about 10438.5447261580. The cubic root of 108963216 is about 477.6318775386.

The spelling of 108963216 in words is "one hundred eight million, nine hundred sixty-three thousand, two hundred sixteen".