1116107167 has 16 divisors (see below), whose sum is σ = 1344724992. Its totient is φ = 906096960.

The previous prime is 1116107143. The next prime is 1116107173. The reversal of 1116107167 is 7617016111.

It is a cyclic number.

It is not a de Polignac number, because 1116107167 - 2²³ = 1107718559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116107197) 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, 44518 + ... + 64915.

It is an arithmetic number, because the mean of its divisors is an integer number (84045312).

Almost surely, 2^1116107167 is an apocalyptic number.

1116107167 is a deficient number, since it is larger than the sum of its proper divisors (228617825).

1116107167 is a wasteful number, since it uses less digits than its factorization.

1116107167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109518.

The product of its (nonzero) digits is 1764, while the sum is 31.

The square root of 1116107167 is about 33408.1901185922. The cubic root of 1116107167 is about 1037.2942384229.

The spelling of 1116107167 in words is "one billion, one hundred sixteen million, one hundred seven thousand, one hundred sixty-seven".