1167085101 has 24 divisors (see below), whose sum is σ = 1925745600. Its totient is φ = 615603456.

The previous prime is 1167085081. The next prime is 1167085111. The reversal of 1167085101 is 1015807611.

It is not a de Polignac number, because 1167085101 - 2¹¹ = 1167083053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167085111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160876 + ... + 167973.

It is an arithmetic number, because the mean of its divisors is an integer number (80239400).

Almost surely, 2^1167085101 is an apocalyptic number.

It is an amenable number.

1167085101 is a deficient number, since it is larger than the sum of its proper divisors (758660499).

1167085101 is a wasteful number, since it uses less digits than its factorization.

1167085101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328885 (or 328872 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

The square root of 1167085101 is about 34162.6272555259. The cubic root of 1167085101 is about 1052.8524408382.

The spelling of 1167085101 in words is "one billion, one hundred sixty-seven million, eighty-five thousand, one hundred one".