105072161731 has 2 divisors, whose sum is σ = 105072161732. Its totient is φ = 105072161730.

The previous prime is 105072161717. The next prime is 105072161737. The reversal of 105072161731 is 137161270501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (137161270501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105072161731 - 2¹⁹ = 105071637443 is a prime.

It is a super-2 number, since 2×105072161731² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105072161737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536080865 + 52536080866.

It is an arithmetic number, because the mean of its divisors is an integer number (52536080866).

Almost surely, 2^105072161731 is an apocalyptic number.

105072161731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105072161731 is an equidigital number, since it uses as much as digits as its factorization.

105072161731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 105072161731 in words is "one hundred five billion, seventy-two million, one hundred sixty-one thousand, seven hundred thirty-one".