111145664 has 112 divisors (see below), whose sum is σ = 266858496. Its totient is φ = 44928000.

The previous prime is 111145663. The next prime is 111145667. The reversal of 111145664 is 466541111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (111145663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735989 + ... + 736139.

Almost surely, 2^111145664 is an apocalyptic number.

111145664 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 111145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

111145664 is an abundant number, since it is smaller than the sum of its proper divisors (155712832).

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

111145664 is a wasteful number, since it uses less digits than its factorization.

111145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 111145664 is about 10542.5643939224. The cubic root of 111145664 is about 480.7996854935.

Adding to 111145664 its reverse (466541111), we get a palindrome (577686775).

The spelling of 111145664 in words is "one hundred eleven million, one hundred forty-five thousand, six hundred sixty-four".