1310106900 has 72 divisors (see below), whose sum is σ = 3921311520. Its totient is φ = 337312640.

The previous prime is 1310106881. The next prime is 1310106911. The reversal of 1310106900 is 96010131.

It is a happy number.

It is a super-2 number, since 2×1310106900² = 3432760178855220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66594 + ... + 83993.

It is an arithmetic number, because the mean of its divisors is an integer number (54462660).

Almost surely, 2^1310106900 is an apocalyptic number.

1310106900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310106900 is an abundant number, since it is smaller than the sum of its proper divisors (2611204620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310106900 is a wasteful number, since it uses less digits than its factorization.

1310106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150633 (or 150626 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1310106900 is about 36195.3988788630. The cubic root of 1310106900 is about 1094.2139434774.

The spelling of 1310106900 in words is "one billion, three hundred ten million, one hundred six thousand, nine hundred".