105253641 has 16 divisors (see below), whose sum is σ = 160147200. Its totient is φ = 68271984.

The previous prime is 105253627. The next prime is 105253651. The reversal of 105253641 is 146352501.

105253641 is a `hidden beast` number, since 10 + 5 + 2 + 5 + 3 + 641 = 666.

It is not a de Polignac number, because 105253641 - 2¹³ = 105245449 is a prime.

It is a super-2 number, since 2×105253641² = 22156657887513762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105253651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51681 + ... + 53678.

It is an arithmetic number, because the mean of its divisors is an integer number (10009200).

Almost surely, 2^105253641 is an apocalyptic number.

It is an amenable number.

105253641 is a deficient number, since it is larger than the sum of its proper divisors (54893559).

105253641 is a wasteful number, since it uses less digits than its factorization.

105253641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105405 (or 105399 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105253641 is about 10259.3197142891. The cubic root of 105253641 is about 472.1489657763.

The spelling of 105253641 in words is "one hundred five million, two hundred fifty-three thousand, six hundred forty-one".