100838713 has 16 divisors (see below), whose sum is σ = 111332880. Its totient is φ = 90904576.

The previous prime is 100838687. The next prime is 100838737. The reversal of 100838713 is 317838001.

It can be written as a sum of positive squares in 8 ways, for example, as 16345849 + 84492864 = 4043^2 + 9192^2 .

It is not a de Polignac number, because 100838713 - 2¹⁷ = 100707641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100838113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66795 + ... + 68287.

It is an arithmetic number, because the mean of its divisors is an integer number (6958305).

Almost surely, 2^100838713 is an apocalyptic number.

It is an amenable number.

100838713 is a deficient number, since it is larger than the sum of its proper divisors (10494167).

100838713 is a wasteful number, since it uses less digits than its factorization.

100838713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 100838713 is about 10041.8480868812. The cubic root of 100838713 is about 465.4529259400.

The spelling of 100838713 in words is "one hundred million, eight hundred thirty-eight thousand, seven hundred thirteen".