100666598400 has 297 divisors, whose sum is σ = 360980157603. Its totient is φ = 26803814400.

The previous prime is 100666598371. The next prime is 100666598401. The reversal of 100666598400 is 4895666001.

The square root of 100666598400 is 317280.

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 2962842624 + 97703755776 = 54432^2 + 312576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (100666598401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 152294070 + ... + 152294730.

Almost surely, 2^100666598400 is an apocalyptic number.

100666598400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100666598400 is the 317280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100666598400

100666598400 is an abundant number, since it is smaller than the sum of its proper divisors (260313559203).

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

100666598400 is an frugal number, since it uses more digits than its factorization.

100666598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 100666598400 in words is "one hundred billion, six hundred sixty-six million, five hundred ninety-eight thousand, four hundred".