105037297161 has 16 divisors (see below), whose sum is σ = 146750330880. Its totient is φ = 66700042640.

The previous prime is 105037297111. The next prime is 105037297171. The reversal of 105037297161 is 161792730501.

It is a cyclic number.

It is not a de Polignac number, because 105037297161 - 2¹⁷ = 105037166089 is a prime.

It is a super-3 number, since 3×105037297161³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105037297111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168195 + ... + 3201176.

It is an arithmetic number, because the mean of its divisors is an integer number (9171895680).

Almost surely, 2^105037297161 is an apocalyptic number.

It is an amenable number.

105037297161 is a deficient number, since it is larger than the sum of its proper divisors (41713033719).

105037297161 is a wasteful number, since it uses less digits than its factorization.

105037297161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369636.

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 105037297161 in words is "one hundred five billion, thirty-seven million, two hundred ninety-seven thousand, one hundred sixty-one".