105391713 has 32 divisors (see below), whose sum is σ = 168917760. Its totient is φ = 57173760.

The previous prime is 105391711. The next prime is 105391717. The reversal of 105391713 is 317193501.

It is a happy number.

It is not a de Polignac number, because 105391713 - 2¹ = 105391711 is a prime.

It is a super-2 number, since 2×105391713² = 22214826338148738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105391711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35731 + ... + 38567.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2^105391713 is an apocalyptic number.

It is an amenable number.

105391713 is a deficient number, since it is larger than the sum of its proper divisors (63526047).

105391713 is a wasteful number, since it uses less digits than its factorization.

105391713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 105391713 is about 10266.0466100637. The cubic root of 105391713 is about 472.3553309795.

The spelling of 105391713 in words is "one hundred five million, three hundred ninety-one thousand, seven hundred thirteen".