105957249 has 16 divisors (see below), whose sum is σ = 143493120. Its totient is φ = 69535440.

The previous prime is 105957239. The next prime is 105957253. The reversal of 105957249 is 942759501.

It is not a de Polignac number, because 105957249 - 2⁹ = 105956737 is a prime.

It is a super-2 number, since 2×105957249² = 22453877231296002, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105957249.

It is not an unprimeable number, because it can be changed into a prime (105957239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152994 + ... + 153684.

It is an arithmetic number, because the mean of its divisors is an integer number (8968320).

Almost surely, 2^105957249 is an apocalyptic number.

It is an amenable number.

105957249 is a deficient number, since it is larger than the sum of its proper divisors (37535871).

105957249 is an equidigital number, since it uses as much as digits as its factorization.

105957249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 105957249 is about 10293.5537595138. The cubic root of 105957249 is about 473.1987165400.

The spelling of 105957249 in words is "one hundred five million, nine hundred fifty-seven thousand, two hundred forty-nine".