10671107085 has 96 divisors (see below), whose sum is σ = 19953648000. Its totient is φ = 5259437568.

The previous prime is 10671106993. The next prime is 10671107089. The reversal of 10671107085 is 58070117601.

It is a happy number.

It is not a de Polignac number, because 10671107085 - 2⁹ = 10671106573 is a prime.

It is a super-2 number, since 2×10671107085² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10671107089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6243211 + ... + 6244919.

It is an arithmetic number, because the mean of its divisors is an integer number (207850500).

Almost surely, 2^10671107085 is an apocalyptic number.

10671107085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10671107085 is a deficient number, since it is larger than the sum of its proper divisors (9282540915).

10671107085 is a wasteful number, since it uses less digits than its factorization.

10671107085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10671107085 in words is "ten billion, six hundred seventy-one million, one hundred seven thousand, eighty-five".