10680505191 has 24 divisors (see below), whose sum is σ = 15501680480. Its totient is φ = 7086139200.

The previous prime is 10680505159. The next prime is 10680505201. The reversal of 10680505191 is 19150508601.

10680505191 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 505 + 1 + 91 = 666.

It is not a de Polignac number, because 10680505191 - 2⁵ = 10680505159 is a prime.

It is a super-2 number, since 2×10680505191² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680505111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660161 + ... + 1666581.

Almost surely, 2^10680505191 is an apocalyptic number.

10680505191 is a deficient number, since it is larger than the sum of its proper divisors (4821175289).

10680505191 is a wasteful number, since it uses less digits than its factorization.

10680505191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 10680505191 in words is "ten billion, six hundred eighty million, five hundred five thousand, one hundred ninety-one".