105072161711 has 16 divisors (see below), whose sum is σ = 119620412928. Its totient is φ = 91357490400.

The previous prime is 105072161683. The next prime is 105072161717. The reversal of 105072161711 is 117161270501.

It is a de Polignac number, because none of the positive numbers 2^k-105072161711 is a prime.

It is a super-2 number, since 2×105072161711² (a number of 23 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 (105072161717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3526406 + ... + 3556076.

It is an arithmetic number, because the mean of its divisors is an integer number (7476275808).

Almost surely, 2^105072161711 is an apocalyptic number.

105072161711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105072161711 is a deficient number, since it is larger than the sum of its proper divisors (14548251217).

105072161711 is a wasteful number, since it uses less digits than its factorization.

105072161711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43702.

The product of its (nonzero) digits is 2940, while the sum is 32.

The spelling of 105072161711 in words is "one hundred five billion, seventy-two million, one hundred sixty-one thousand, seven hundred eleven".