100840311 has 72 divisors (see below), whose sum is σ = 182997360. Its totient is φ = 52968960.

The previous prime is 100840307. The next prime is 100840321. The reversal of 100840311 is 113048001.

It is not a de Polignac number, because 100840311 - 2² = 100840307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100840321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240460 + ... + 240878.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^100840311 is an apocalyptic number.

100840311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100840311 is a deficient number, since it is larger than the sum of its proper divisors (82157049).

100840311 is a wasteful number, since it uses less digits than its factorization.

100840311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100840311 is about 10041.9276535932. The cubic root of 100840311 is about 465.4553846182.

Adding to 100840311 its reverse (113048001), we get a palindrome (213888312).

The spelling of 100840311 in words is "one hundred million, eight hundred forty thousand, three hundred eleven".