105757780939199 has 8 divisors (see below), whose sum is σ = 106208091149952. Its totient is φ = 105307835799960.

The previous prime is 105757780939163. The next prime is 105757780939207. The reversal of 105757780939199 is 991939087757501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105757780939199 is a prime.

It is a super-2 number, since 2×105757780939199² (a number of 29 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 (105757780939099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90687257 + ... + 91846034.

It is an arithmetic number, because the mean of its divisors is an integer number (13276011393744).

Almost surely, 2^{105757780939199} is an apocalyptic number.

105757780939199 is a deficient number, since it is larger than the sum of its proper divisors (450310210753).

105757780939199 is a wasteful number, since it uses less digits than its factorization.

105757780939199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182535757.

The product of its (nonzero) digits is 1350253800, while the sum is 80.

The spelling of 105757780939199 in words is "one hundred five trillion, seven hundred fifty-seven billion, seven hundred eighty million, nine hundred thirty-nine thousand, one hundred ninety-nine".