100911541 has 16 divisors (see below), whose sum is σ = 110799360. Its totient is φ = 91491840.

The previous prime is 100911539. The next prime is 100911563. The reversal of 100911541 is 145119001.

It is a cyclic number.

It is not a de Polignac number, because 100911541 - 2¹ = 100911539 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100911521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220585 + ... + 221041.

It is an arithmetic number, because the mean of its divisors is an integer number (6924960).

Almost surely, 2^100911541 is an apocalyptic number.

It is an amenable number.

100911541 is a deficient number, since it is larger than the sum of its proper divisors (9887819).

100911541 is a wasteful number, since it uses less digits than its factorization.

100911541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 100911541 is about 10045.4736573245. The cubic root of 100911541 is about 465.5649525196.

The spelling of 100911541 in words is "one hundred million, nine hundred eleven thousand, five hundred forty-one".