105055041 has 16 divisors (see below), whose sum is σ = 172398464. Its totient is φ = 55413504.

The previous prime is 105055037. The next prime is 105055051. The reversal of 105055041 is 140550501.

It is not a de Polignac number, because 105055041 - 2² = 105055037 is a prime.

It is a super-2 number, since 2×105055041² = 22073123279023362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105054999 and 105055017.

It is not an unprimeable number, because it can be changed into a prime (105055021) 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, 192136 + ... + 192681.

It is an arithmetic number, because the mean of its divisors is an integer number (10774904).

Almost surely, 2^105055041 is an apocalyptic number.

It is an amenable number.

105055041 is a deficient number, since it is larger than the sum of its proper divisors (67343423).

105055041 is a wasteful number, since it uses less digits than its factorization.

105055041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384840.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 105055041 is about 10249.6361398832. The cubic root of 105055041 is about 471.8518174714.

The spelling of 105055041 in words is "one hundred five million, fifty-five thousand, forty-one".