105257933097 has 16 divisors (see below), whose sum is σ = 141613643712. Its totient is φ = 69538867200.

The previous prime is 105257933059. The next prime is 105257933141. The reversal of 105257933097 is 790339752501.

It is not a de Polignac number, because 105257933097 - 2¹⁴ = 105257916713 is a prime.

It is a super-3 number, since 3×105257933097³ (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 (105257933197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15222 + ... + 459072.

It is an arithmetic number, because the mean of its divisors is an integer number (8850852732).

Almost surely, 2^105257933097 is an apocalyptic number.

It is an amenable number.

105257933097 is a deficient number, since it is larger than the sum of its proper divisors (36355710615).

105257933097 is a wasteful number, since it uses less digits than its factorization.

105257933097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444568.

The product of its (nonzero) digits is 1786050, while the sum is 51.

The spelling of 105257933097 in words is "one hundred five billion, two hundred fifty-seven million, nine hundred thirty-three thousand, ninety-seven".