105004041 has 16 divisors (see below), whose sum is σ = 145810560. Its totient is φ = 67132800.

The previous prime is 105004033. The next prime is 105004043. The reversal of 105004041 is 140400501.

It is not a de Polignac number, because 105004041 - 2³ = 105004033 is a prime.

It is a super-2 number, since 2×105004041² = 22051697252659362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105004041.

It is not an unprimeable number, because it can be changed into a prime (105004043) 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, 9141 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (9113160).

Almost surely, 2^105004041 is an apocalyptic number.

It is an amenable number.

105004041 is a deficient number, since it is larger than the sum of its proper divisors (40806519).

105004041 is a wasteful number, since it uses less digits than its factorization.

105004041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105004041 is about 10247.1479446722. The cubic root of 105004041 is about 471.7754500814.

Adding to 105004041 its reverse (140400501), we get a palindrome (245404542).

It can be divided in two parts, 10500 and 4041, that added together give a palindrome (14541).

The spelling of 105004041 in words is "one hundred five million, four thousand, forty-one".