111164001 has 16 divisors (see below), whose sum is σ = 159815040. Its totient is φ = 68325120.

The previous prime is 111163979. The next prime is 111164023. The reversal of 111164001 is 100461111.

It is an interprime number because it is at equal distance from previous prime (111163979) and next prime (111164023).

It is not a de Polignac number, because 111164001 - 2¹⁵ = 111131233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111164401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50361 + ... + 52521.

It is an arithmetic number, because the mean of its divisors is an integer number (9988440).

Almost surely, 2^111164001 is an apocalyptic number.

It is an amenable number.

111164001 is a deficient number, since it is larger than the sum of its proper divisors (48651039).

111164001 is a wasteful number, since it uses less digits than its factorization.

111164001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496.

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 111164001 is about 10543.4340231255. The cubic root of 111164001 is about 480.8261250885.

The spelling of 111164001 in words is "one hundred eleven million, one hundred sixty-four thousand, one".