105268641 has 16 divisors (see below), whose sum is σ = 148883904. Its totient is φ = 65931264.

The previous prime is 105268627. The next prime is 105268661. The reversal of 105268641 is 146862501.

It is not a de Polignac number, because 105268641 - 2⁵ = 105268609 is a prime.

It is a super-2 number, since 2×105268641² = 22162973555973762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105268621) 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, 32790 + ... + 35856.

It is an arithmetic number, because the mean of its divisors is an integer number (9305244).

Almost surely, 2^105268641 is an apocalyptic number.

It is an amenable number.

105268641 is a deficient number, since it is larger than the sum of its proper divisors (43615263).

105268641 is a wasteful number, since it uses less digits than its factorization.

105268641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105268641 is about 10260.0507308687. The cubic root of 105268641 is about 472.1713938146.

The spelling of 105268641 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred forty-one".