100996893 has 12 divisors (see below), whose sum is σ = 147224220. Its totient is φ = 66712896.

The previous prime is 100996871. The next prime is 100996901. The reversal of 100996893 is 398699001.

It can be written as a sum of positive squares in 2 ways, for example, as 57198969 + 43797924 = 7563^2 + 6618^2 .

It is not a de Polignac number, because 100996893 - 2¹² = 100992797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100996823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50496 + ... + 52457.

It is an arithmetic number, because the mean of its divisors is an integer number (12268685).

Almost surely, 2^100996893 is an apocalyptic number.

It is an amenable number.

100996893 is a deficient number, since it is larger than the sum of its proper divisors (46227327).

100996893 is a wasteful number, since it uses less digits than its factorization.

100996893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103068 (or 103065 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 100996893 is about 10049.7210409046. The cubic root of 100996893 is about 465.6961753755.

The spelling of 100996893 in words is "one hundred million, nine hundred ninety-six thousand, eight hundred ninety-three".