199012809696100 has 81 divisors (see below), whose sum is σ = 432586071907563. Its totient is φ = 79471105573440.

The previous prime is 199012809696067. The next prime is 199012809696101. The reversal of 199012809696100 is 1696908210991.

The square root of 199012809696100 is 14107190.

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 87301777105764 + 111711032590336 = 9343542^2 + 10569344^2 .

It is a super-2 number, since 2×199012809696100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199012809696101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164066619094 + ... + 164066620306.

Almost surely, 2^{199012809696100} is an apocalyptic number.

199012809696100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199012809696100 is the 14107190-th square number.

It is an amenable number.

199012809696100 is an abundant number, since it is smaller than the sum of its proper divisors (233573262211463).

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

199012809696100 is an frugal number, since it uses more digits than its factorization.

199012809696100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 61.

The spelling of 199012809696100 in words is "one hundred ninety-nine trillion, twelve billion, eight hundred nine million, six hundred ninety-six thousand, one hundred".