109962664 has 96 divisors (see below), whose sum is σ = 263169000. Its totient is φ = 42749952.

The previous prime is 109962661. The next prime is 109962683. The reversal of 109962664 is 466269901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91968100 + 17994564 = 9590^2 + 4242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109962664.

It is not an unprimeable number, because it can be changed into a prime (109962661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192972 + ... + 193540.

Almost surely, 2^109962664 is an apocalyptic number.

109962664 is a gapful number since it is divisible by the number (14) 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 109962664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131584500).

109962664 is an abundant number, since it is smaller than the sum of its proper divisors (153206336).

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

109962664 is a wasteful number, since it uses less digits than its factorization.

109962664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 109962664 is about 10486.3084066796. The cubic root of 109962664 is about 479.0877697380.

The spelling of 109962664 in words is "one hundred nine million, nine hundred sixty-two thousand, six hundred sixty-four".