100005031305 has 24 divisors (see below), whose sum is σ = 177569912520. Its totient is φ = 52035137280.

The previous prime is 100005031303. The next prime is 100005031333. The reversal of 100005031305 is 503130500001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16895060361 + 83109970944 = 129981^2 + 288288^2 .

It is not a de Polignac number, because 100005031305 - 2¹ = 100005031303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100005031303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27099790 + ... + 27103479.

It is an arithmetic number, because the mean of its divisors is an integer number (7398746355).

Almost surely, 2^100005031305 is an apocalyptic number.

100005031305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005031305 is a deficient number, since it is larger than the sum of its proper divisors (77564881215).

100005031305 is a wasteful number, since it uses less digits than its factorization.

100005031305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54203321 (or 54203318 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 100005031305 its reverse (503130500001), we get a palindrome (603135531306).

The spelling of 100005031305 in words is "one hundred billion, five million, thirty-one thousand, three hundred five".