10031979328900 has 243 divisors, whose sum is σ = 23331164544751. Its totient is φ = 3743834737280.

The previous prime is 10031979328843. The next prime is 10031979328907. The reversal of 10031979328900 is 982397913001.

The square root of 10031979328900 is 3167330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1588724118916 + 8443255209984 = 1260446^2 + 2905728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031979328907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34238837154 + ... + 34238837446.

Almost surely, 2^{10031979328900} is an apocalyptic number.

10031979328900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10031979328900 is the 3167330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031979328900

10031979328900 is an abundant number, since it is smaller than the sum of its proper divisors (13299185215851).

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

10031979328900 is an equidigital number, since it uses as much as digits as its factorization.

10031979328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 10031979328900 in words is "ten trillion, thirty-one billion, nine hundred seventy-nine million, three hundred twenty-eight thousand, nine hundred".