100505755 has 16 divisors (see below), whose sum is σ = 140439744. Its totient is φ = 67616640.

The previous prime is 100505753. The next prime is 100505771. The reversal of 100505755 is 557505001.

It is not a de Polignac number, because 100505755 - 2¹ = 100505753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505753) 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, 25236 + ... + 28945.

It is an arithmetic number, because the mean of its divisors is an integer number (8777484).

Almost surely, 2^100505755 is an apocalyptic number.

100505755 is a deficient number, since it is larger than the sum of its proper divisors (39933989).

100505755 is an equidigital number, since it uses as much as digits as its factorization.

100505755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54246.

The product of its (nonzero) digits is 4375, while the sum is 28.

The square root of 100505755 is about 10025.2558570841. The cubic root of 100505755 is about 464.9400701275.

The spelling of 100505755 in words is "one hundred million, five hundred five thousand, seven hundred fifty-five".