105724413 has 8 divisors (see below), whose sum is σ = 156628800. Its totient is φ = 70482924.

The previous prime is 105724397. The next prime is 105724439. The reversal of 105724413 is 314427501.

It is not a de Polignac number, because 105724413 - 2⁴ = 105724397 is a prime.

It is a super-2 number, since 2×105724413² = 22355303008389138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3915719 = 105724413 / (1 + 0 + 5 + 7 + 2 + 4 + 4 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957833 + ... + 1957886.

It is an arithmetic number, because the mean of its divisors is an integer number (19578600).

Almost surely, 2^105724413 is an apocalyptic number.

It is an amenable number.

105724413 is a deficient number, since it is larger than the sum of its proper divisors (50904387).

105724413 is an equidigital number, since it uses as much as digits as its factorization.

105724413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915728 (or 3915722 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105724413 is about 10282.2377428262. The cubic root of 105724413 is about 472.8518518076.

The spelling of 105724413 in words is "one hundred five million, seven hundred twenty-four thousand, four hundred thirteen".