105252441 has 12 divisors (see below), whose sum is σ = 163248912. Its totient is φ = 60144168.

The previous prime is 105252361. The next prime is 105252443. The reversal of 105252441 is 144252501.

It is not a de Polignac number, because 105252441 - 2⁷ = 105252313 is a prime.

It is a super-2 number, since 2×105252441² = 22156152672916962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105252443) 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 11 ways as a sum of consecutive naturals, for example, 357855 + ... + 358148.

It is an arithmetic number, because the mean of its divisors is an integer number (13604076).

Almost surely, 2^105252441 is an apocalyptic number.

It is an amenable number.

105252441 is a deficient number, since it is larger than the sum of its proper divisors (57996471).

105252441 is an equidigital number, since it uses as much as digits as its factorization.

105252441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716020 (or 716013 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105252441 is about 10259.2612307125. The cubic root of 105252441 is about 472.1471714412.

The spelling of 105252441 in words is "one hundred five million, two hundred fifty-two thousand, four hundred forty-one".