199531956100 has 81 divisors (see below), whose sum is σ = 457166853381. Its totient is φ = 75579948000.

The previous prime is 199531956089. The next prime is 199531956131. The reversal of 199531956100 is 1659135991.

The square root of 199531956100 is 446690.

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., 71831504196 + 127700451904 = 268014^2 + 357352^2 .

It is a Duffinian number.

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, 84869925 + ... + 84872275.

Almost surely, 2^199531956100 is an apocalyptic number.

199531956100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199531956100 is the 446690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199531956100

199531956100 is an abundant number, since it is smaller than the sum of its proper divisors (257634897281).

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

199531956100 is an equidigital number, since it uses as much as digits as its factorization.

199531956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 49.

Multiplying 199531956100 by its sum of digits (49), we get a square (9777065848900 = 3126830²).

The spelling of 199531956100 in words is "one hundred ninety-nine billion, five hundred thirty-one million, nine hundred fifty-six thousand, one hundred".