299985517608100 has 81 divisors (see below), whose sum is σ = 657149847150433. Its totient is φ = 118865422137760.

The previous prime is 299985517608097. The next prime is 299985517608113. The reversal of 299985517608100 is 1806715589992.

The square root of 299985517608100 is 17320090.

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

It can be written as a sum of positive squares in only one way, i.e., 107994786338916 + 191990731269184 = 10392054^2 + 13856072^2 .

It is a super-2 number, since 2×299985517608100² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 299985517608100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18532488207 + ... + 18532504393.

Almost surely, 2^{299985517608100} is an apocalyptic number.

299985517608100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

299985517608100 is the 17320090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299985517608100

299985517608100 is an abundant number, since it is smaller than the sum of its proper divisors (357164329542333).

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

299985517608100 is an frugal number, since it uses more digits than its factorization.

299985517608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32602 (or 16301 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 70.

The spelling of 299985517608100 in words is "two hundred ninety-nine trillion, nine hundred eighty-five billion, five hundred seventeen million, six hundred eight thousand, one hundred".