105025641 has 32 divisors (see below), whose sum is σ = 164978688. Its totient is φ = 58181760.

The previous prime is 105025601. The next prime is 105025667. The reversal of 105025641 is 146520501.

It is not a de Polignac number, because 105025641 - 2⁶ = 105025577 is a prime.

It is a super-2 number, since 2×105025641² = 22060770534921762, which contains 22 as substring.

105025641 is a modest number, since divided by 25641 gives 105 as remainder.

It is not an unprimeable number, because it can be changed into a prime (105025601) by changing a digit.

It is a nontrivial repunit in base 40.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191730 + ... + 192276.

It is an arithmetic number, because the mean of its divisors is an integer number (5155584).

Almost surely, 2^105025641 is an apocalyptic number.

It is an amenable number.

105025641 is a deficient number, since it is larger than the sum of its proper divisors (59953047).

105025641 is a wasteful number, since it uses less digits than its factorization.

105025641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105025641 is about 10248.2018422746. The cubic root of 105025641 is about 471.8077969352.

The spelling of 105025641 in words is "one hundred five million, twenty-five thousand, six hundred forty-one".