100830316444900 has 243 divisors, whose sum is σ = 261656978227281. Its totient is φ = 33627383435520.

The previous prime is 100830316444867. The next prime is 100830316444903. The reversal of 100830316444900 is 9444613038001.

The square root of 100830316444900 is 10041430.

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

It can be written as a sum of positive squares in 13 ways, for example, as 44747831541924 + 56082484902976 = 6689382^2 + 7488824^2 .

It is not an unprimeable number, because it can be changed into a prime (100830316444903) 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, 26007301762 + ... + 26007305638.

Almost surely, 2^{100830316444900} is an apocalyptic number.

100830316444900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100830316444900 is the 10041430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100830316444900

100830316444900 is an abundant number, since it is smaller than the sum of its proper divisors (160826661782381).

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

100830316444900 is an frugal number, since it uses more digits than its factorization.

100830316444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 100830316444900 in words is "one hundred trillion, eight hundred thirty billion, three hundred sixteen million, four hundred forty-four thousand, nine hundred".