100838001 has 16 divisors (see below), whose sum is σ = 147188160. Its totient is φ = 60899520.

The previous prime is 100837993. The next prime is 100838011.

It is a happy number.

100838001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100838001 - 2³ = 100837993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100838011) 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, 4455 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (9199260).

Almost surely, 2^100838001 is an apocalyptic number.

100838001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100838001 is a deficient number, since it is larger than the sum of its proper divisors (46350159).

100838001 is a wasteful number, since it uses less digits than its factorization.

100838001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100838001 is about 10041.8126351770. The cubic root of 100838001 is about 465.4518304505.

The spelling of 100838001 in words is "one hundred million, eight hundred thirty-eight thousand, one".