105829713 has 32 divisors (see below), whose sum is σ = 171696000. Its totient is φ = 63892800.

The previous prime is 105829699. The next prime is 105829721. The reversal of 105829713 is 317928501.

105829713 is a `hidden beast` number, since 1 + 0 + 582 + 9 + 71 + 3 = 666.

It is not a de Polignac number, because 105829713 - 2¹⁶ = 105764177 is a prime.

It is a super-2 number, since 2×105829713² = 22399856307324738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105829723) 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, 103143 + ... + 104163.

It is an arithmetic number, because the mean of its divisors is an integer number (5365500).

Almost surely, 2^105829713 is an apocalyptic number.

It is an amenable number.

105829713 is a deficient number, since it is larger than the sum of its proper divisors (65866287).

105829713 is a wasteful number, since it uses less digits than its factorization.

105829713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105829713 is about 10287.3569491877. The cubic root of 105829713 is about 473.0087842740.

The spelling of 105829713 in words is "one hundred five million, eight hundred twenty-nine thousand, seven hundred thirteen".