110009664 has 70 divisors (see below), whose sum is σ = 326118474. Its totient is φ = 36668160.

The previous prime is 110009663. The next prime is 110009699. The reversal of 110009664 is 466900011.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 1016064 = 10440^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110009663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5427 + ... + 15794.

Almost surely, 2^110009664 is an apocalyptic number.

It is an amenable number.

110009664 is an abundant number, since it is smaller than the sum of its proper divisors (216108810).

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

110009664 is an equidigital number, since it uses as much as digits as its factorization.

110009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21245 (or 21226 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 110009664 is about 10488.5491847061. The cubic root of 110009664 is about 479.1560168958.

Adding to 110009664 its reverse (466900011), we get a palindrome (576909675).

The spelling of 110009664 in words is "one hundred ten million, nine thousand, six hundred sixty-four".