108964260 has 72 divisors (see below), whose sum is σ = 339478776. Its totient is φ = 28270080.

The previous prime is 108964249. The next prime is 108964277. The reversal of 108964260 is 62469801.

108964260 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 642 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 84934656 = 4902^2 + 9216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521 + ... + 14840.

It is an arithmetic number, because the mean of its divisors is an integer number (4714983).

Almost surely, 2^108964260 is an apocalyptic number.

108964260 is a gapful number since it is divisible by the number (10) 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 108964260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169739388).

108964260 is an abundant number, since it is smaller than the sum of its proper divisors (230514516).

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

108964260 is a wasteful number, since it uses less digits than its factorization.

108964260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16413 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 108964260 is about 10438.5947330088. The cubic root of 108964260 is about 477.6334029650.

The spelling of 108964260 in words is "one hundred eight million, nine hundred sixty-four thousand, two hundred sixty".