100938 has 8 divisors (see below), whose sum is σ = 201888. Its totient is φ = 33644.

The previous prime is 100937. The next prime is 100943. The reversal of 100938 is 839001.

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

100938 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (100931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8406 + ... + 8417.

It is an arithmetic number, because the mean of its divisors is an integer number (25236).

2¹⁰⁰⁹³⁸ is an apocalyptic number.

100938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100938 is a wasteful number, since it uses less digits than its factorization.

100938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100938 is about 317.7074125670. The cubic root of 100938 is about 46.5605639331.

Adding to 100938 its reverse (839001), we get a palindrome (939939).

It can be divided in two parts, 10093 and 8, that added together give a palindrome (10101).

The spelling of 100938 in words is "one hundred thousand, nine hundred thirty-eight".