105125041 has 16 divisors (see below), whose sum is σ = 125222400. Its totient is φ = 88176480.

The previous prime is 105125017. The next prime is 105125047. The reversal of 105125041 is 140521501.

It is not a de Polignac number, because 105125041 - 2⁹ = 105124529 is a prime.

It is a super-2 number, since 2×105125041² = 22102548490503362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105125047) 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, 12861 + ... + 19381.

It is an arithmetic number, because the mean of its divisors is an integer number (7826400).

Almost surely, 2^105125041 is an apocalyptic number.

It is an amenable number.

105125041 is a deficient number, since it is larger than the sum of its proper divisors (20097359).

105125041 is an frugal number, since it uses more digits than its factorization.

105125041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105125041 is about 10253.0503266101. The cubic root of 105125041 is about 471.9565952258.

Adding to 105125041 its reverse (140521501), we get a palindrome (245646542).

The spelling of 105125041 in words is "one hundred five million, one hundred twenty-five thousand, forty-one".