10312756608100 has 18 divisors (see below), whose sum is σ = 22378681839794. Its totient is φ = 4125102643200.

The previous prime is 10312756608059. The next prime is 10312756608113. The reversal of 10312756608100 is 180665721301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 525970156644 + 9786786451456 = 725238^2 + 3128384^2 .

It is a super-2 number, since 2×10312756608100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51563782941 + ... + 51563783140.

Almost surely, 2^{10312756608100} is an apocalyptic number.

10312756608100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312756608100 is an abundant number, since it is smaller than the sum of its proper divisors (12065925231694).

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

10312756608100 is a wasteful number, since it uses less digits than its factorization.

10312756608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103127566095 (or 103127566088 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 10312756608100 in words is "ten trillion, three hundred twelve billion, seven hundred fifty-six million, six hundred eight thousand, one hundred".