100891845 has 32 divisors (see below), whose sum is σ = 183191040. Its totient is φ = 52660800.

The previous prime is 100891837. The next prime is 100891849. The reversal of 100891845 is 548198001.

It is not a de Polignac number, because 100891845 - 2³ = 100891837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100891849) 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 31 ways as a sum of consecutive naturals, for example, 1606 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (5724720).

Almost surely, 2^100891845 is an apocalyptic number.

100891845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100891845 is a deficient number, since it is larger than the sum of its proper divisors (82299195).

100891845 is a wasteful number, since it uses less digits than its factorization.

100891845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962 (or 15956 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 100891845 is about 10044.4932674575. The cubic root of 100891845 is about 465.5346607615.

The spelling of 100891845 in words is "one hundred million, eight hundred ninety-one thousand, eight hundred forty-five".