105252339 has 16 divisors (see below), whose sum is σ = 145706400. Its totient is φ = 67501056.

The previous prime is 105252331. The next prime is 105252353. The reversal of 105252339 is 933252501.

It is not a de Polignac number, because 105252339 - 2³ = 105252331 is a prime.

It is a super-2 number, since 2×105252339² = 22156109729941842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105252331) 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 15 ways as a sum of consecutive naturals, for example, 23427 + ... + 27555.

It is an arithmetic number, because the mean of its divisors is an integer number (9106650).

Almost surely, 2^105252339 is an apocalyptic number.

105252339 is a deficient number, since it is larger than the sum of its proper divisors (40454061).

105252339 is a wasteful number, since it uses less digits than its factorization.

105252339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 105252339 is about 10259.2562595931. The cubic root of 105252339 is about 472.1470189221.

The spelling of 105252339 in words is "one hundred five million, two hundred fifty-two thousand, three hundred thirty-nine".