100838 has 8 divisors (see below), whose sum is σ = 152832. Its totient is φ = 49896.

The previous prime is 100829. The next prime is 100847. The reversal of 100838 is 838001.

100838 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (100829) and next prime (100847).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (19104).

2¹⁰⁰⁸³⁸ is an apocalyptic number.

100838 is a deficient number, since it is larger than the sum of its proper divisors (51994).

100838 is a wasteful number, since it uses less digits than its factorization.

100838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 100838 is about 317.5499960636. The cubic root of 100838 is about 46.5451828912.

Adding to 100838 its reverse (838001), we get a palindrome (938839).

The spelling of 100838 in words is "one hundred thousand, eight hundred thirty-eight".