10767161085 has 32 divisors (see below), whose sum is σ = 18058094208. Its totient is φ = 5472122880.

The previous prime is 10767161081. The next prime is 10767161107. The reversal of 10767161085 is 58016176701.

It is a happy number.

It is not a de Polignac number, because 10767161085 - 2² = 10767161081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10767161081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177132 + ... + 230021.

It is an arithmetic number, because the mean of its divisors is an integer number (564315444).

Almost surely, 2^10767161085 is an apocalyptic number.

10767161085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10767161085 is a deficient number, since it is larger than the sum of its proper divisors (7290933123).

10767161085 is a wasteful number, since it uses less digits than its factorization.

10767161085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407245.

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 10767161085 in words is "ten billion, seven hundred sixty-seven million, one hundred sixty-one thousand, eighty-five".