108261936 has 60 divisors (see below), whose sum is σ = 307279440. Its totient is φ = 35575680.

The previous prime is 108261931. The next prime is 108261947. The reversal of 108261936 is 639162801.

108261936 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 619 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 108261936.

It is not an unprimeable number, because it can be changed into a prime (108261931) 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, 4930 + ... + 15518.

It is an arithmetic number, because the mean of its divisors is an integer number (5121324).

Almost surely, 2^108261936 is an apocalyptic number.

108261936 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 108261936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153639720).

108261936 is an abundant number, since it is smaller than the sum of its proper divisors (199017504).

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

108261936 is a wasteful number, since it uses less digits than its factorization.

108261936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10665 counting only the distinct ones).

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

The square root of 108261936 is about 10404.8996150852. The cubic root of 108261936 is about 476.6050024284.

The spelling of 108261936 in words is "one hundred eight million, two hundred sixty-one thousand, nine hundred thirty-six".