100838505 has 32 divisors (see below), whose sum is σ = 171076608. Its totient is φ = 50630400.

The previous prime is 100838503. The next prime is 100838519. The reversal of 100838505 is 505838001.

It is a happy number.

It is not a de Polignac number, because 100838505 - 2¹ = 100838503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100838503) 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 31 ways as a sum of consecutive naturals, for example, 14275 + ... + 20135.

It is an arithmetic number, because the mean of its divisors is an integer number (5346144).

Almost surely, 2^100838505 is an apocalyptic number.

100838505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100838505 is a deficient number, since it is larger than the sum of its proper divisors (70238103).

100838505 is a wasteful number, since it uses less digits than its factorization.

100838505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 100838505 is about 10041.8377302165. The cubic root of 100838505 is about 465.4526059099.

The spelling of 100838505 in words is "one hundred million, eight hundred thirty-eight thousand, five hundred five".