100993845 has 16 divisors (see below), whose sum is σ = 162077760. Its totient is φ = 53700864.

The previous prime is 100993813. The next prime is 100993847. The reversal of 100993845 is 548399001.

It is not a de Polignac number, because 100993845 - 2⁵ = 100993813 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 (100993847) by changing a digit.

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, 4935 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (10129860).

Almost surely, 2^100993845 is an apocalyptic number.

100993845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100993845 is a deficient number, since it is larger than the sum of its proper divisors (61083915).

100993845 is a wasteful number, since it uses less digits than its factorization.

100993845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20324.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 100993845 is about 10049.5693937601. The cubic root of 100993845 is about 465.6914905573.

The spelling of 100993845 in words is "one hundred million, nine hundred ninety-three thousand, eight hundred forty-five".