100505041 has 16 divisors (see below), whose sum is σ = 130211200. Its totient is φ = 75333888.

The previous prime is 100505033. The next prime is 100505047. The reversal of 100505041 is 140505001.

It is a happy number.

It is not a de Polignac number, because 100505041 - 2³ = 100505033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100505047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27336 + ... + 30793.

It is an arithmetic number, because the mean of its divisors is an integer number (8138200).

Almost surely, 2^100505041 is an apocalyptic number.

It is an amenable number.

100505041 is a deficient number, since it is larger than the sum of its proper divisors (29706159).

100505041 is a wasteful number, since it uses less digits than its factorization.

100505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58168.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 100505041 is about 10025.2202469572. The cubic root of 100505041 is about 464.9389691358.

The spelling of 100505041 in words is "one hundred million, five hundred five thousand, forty-one".