100005311 has 16 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 79160928.

The previous prime is 100005307. The next prime is 100005313. The reversal of 100005311 is 113500001.

It is not a de Polignac number, because 100005311 - 2² = 100005307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100005292 and 100005301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6041 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^100005311 is an apocalyptic number.

100005311 is a deficient number, since it is larger than the sum of its proper divisors (23373889).

100005311 is a wasteful number, since it uses less digits than its factorization.

100005311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21478.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 100005311 is about 10000.2655464743. The cubic root of 100005311 is about 464.1671003752.

Adding to 100005311 its reverse (113500001), we get a palindrome (213505312).

The spelling of 100005311 in words is "one hundred million, five thousand, three hundred eleven".