105731713699 has 8 divisors (see below), whose sum is σ = 107820075888. Its totient is φ = 103663726080.

The previous prime is 105731713679. The next prime is 105731713753. The reversal of 105731713699 is 996317137501.

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

It is a cyclic number.

It is not a de Polignac number, because 105731713699 - 2³⁵ = 71371975331 is a prime.

It is a super-2 number, since 2×105731713699² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105731713679) 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 7 ways as a sum of consecutive naturals, for example, 5083162 + ... + 5103919.

It is an arithmetic number, because the mean of its divisors is an integer number (13477509486).

Almost surely, 2^105731713699 is an apocalyptic number.

105731713699 is a deficient number, since it is larger than the sum of its proper divisors (2088362189).

105731713699 is a wasteful number, since it uses less digits than its factorization.

105731713699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187285.

The product of its (nonzero) digits is 1071630, while the sum is 52.

The spelling of 105731713699 in words is "one hundred five billion, seven hundred thirty-one million, seven hundred thirteen thousand, six hundred ninety-nine".