100955305 has 16 divisors (see below), whose sum is σ = 134330688. Its totient is φ = 72216000.

The previous prime is 100955297. The next prime is 100955311. The reversal of 100955305 is 503559001.

It is not a de Polignac number, because 100955305 - 2³ = 100955297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11691 + ... + 18400.

It is an arithmetic number, because the mean of its divisors is an integer number (8395668).

Almost surely, 2^100955305 is an apocalyptic number.

It is an amenable number.

100955305 is a deficient number, since it is larger than the sum of its proper divisors (33375383).

100955305 is a wasteful number, since it uses less digits than its factorization.

100955305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30168.

The product of its (nonzero) digits is 3375, while the sum is 28.

The square root of 100955305 is about 10047.6517156995. The cubic root of 100955305 is about 465.6322459122.

It can be divided in two parts, 10095 and 5305, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 100955305 in words is "one hundred million, nine hundred fifty-five thousand, three hundred five".