105724513 has 8 divisors (see below), whose sum is σ = 113478408. Its totient is φ = 98141184.

The previous prime is 105724511. The next prime is 105724543. The reversal of 105724513 is 315427501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38353249 + 67371264 = 6193^2 + 8208^2 .

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 105724513 - 2¹ = 105724511 is a prime.

It is a super-2 number, since 2×105724513² = 22355345298174338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105724511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41356 + ... + 43837.

It is an arithmetic number, because the mean of its divisors is an integer number (14184801).

Almost surely, 2^105724513 is an apocalyptic number.

It is an amenable number.

105724513 is a deficient number, since it is larger than the sum of its proper divisors (7753895).

105724513 is an equidigital number, since it uses as much as digits as its factorization.

105724513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85283.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105724513 is about 10282.2426055798. The cubic root of 105724513 is about 472.8520008907.

The spelling of 105724513 in words is "one hundred five million, seven hundred twenty-four thousand, five hundred thirteen".