105350164531561 has 2 divisors, whose sum is σ = 105350164531562. Its totient is φ = 105350164531560.

The previous prime is 105350164531543. The next prime is 105350164531583. The reversal of 105350164531561 is 165135461053501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58293912152025 + 47056252379536 = 7635045^2 + 6859756^2 .

It is a cyclic number.

It is not a de Polignac number, because 105350164531561 - 2²¹ = 105350162434409 is a prime.

It is a super-2 number, since 2×105350164531561² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105350164531361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52675082265780 + 52675082265781.

It is an arithmetic number, because the mean of its divisors is an integer number (52675082265781).

Almost surely, 2^{105350164531561} is an apocalyptic number.

It is an amenable number.

105350164531561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105350164531561 is an equidigital number, since it uses as much as digits as its factorization.

105350164531561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 105350164531561 in words is "one hundred five trillion, three hundred fifty billion, one hundred sixty-four million, five hundred thirty-one thousand, five hundred sixty-one".