199597275852100 has 81 divisors (see below), whose sum is σ = 503843048454333. Its totient is φ = 68433012651360.

The previous prime is 199597275852061. The next prime is 199597275852103. The reversal of 199597275852100 is 1258572795991.

It is a happy number.

The square root of 199597275852100 is 14127890.

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., 71855019306756 + 127742256545344 = 8476734^2 + 11302312^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 199597275852100.

It is not an unprimeable number, because it can be changed into a prime (199597275852103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 988851387 + ... + 989053213.

Almost surely, 2^{199597275852100} is an apocalyptic number.

199597275852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199597275852100 is the 14127890-th square number.

It is an amenable number.

199597275852100 is an abundant number, since it is smaller than the sum of its proper divisors (304245772602233).

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

199597275852100 is an frugal number, since it uses more digits than its factorization.

199597275852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403682 (or 201841 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 70.

The spelling of 199597275852100 in words is "one hundred ninety-nine trillion, five hundred ninety-seven billion, two hundred seventy-five million, eight hundred fifty-two thousand, one hundred".