105713713 has 8 divisors (see below), whose sum is σ = 120887360. Its totient is φ = 90558000.

The previous prime is 105713711. The next prime is 105713717. The reversal of 105713713 is 317317501.

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 105713713 - 2¹ = 105713711 is a prime.

It is a super-2 number, since 2×105713713² = 22350778232492738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105713711) 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, 12403 + ... + 19111.

It is an arithmetic number, because the mean of its divisors is an integer number (15110920).

Almost surely, 2^105713713 is an apocalyptic number.

It is an amenable number.

105713713 is a deficient number, since it is larger than the sum of its proper divisors (15173647).

105713713 is an equidigital number, since it uses as much as digits as its factorization.

105713713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 105713713 is about 10281.7174149069. The cubic root of 105713713 is about 472.8358993725.

The spelling of 105713713 in words is "one hundred five million, seven hundred thirteen thousand, seven hundred thirteen".