206155897096900 has 81 divisors (see below), whose sum is σ = 458017640895213. Its totient is φ = 80542217397600.

The previous prime is 206155897096889. The next prime is 206155897096931. The reversal of 206155897096900 is 9690798551602.

The square root of 206155897096900 is 14358130.

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., 74216122954884 + 131939774142016 = 8614878^2 + 11486504^2 .

It is a super-2 number, since 2×206155897096900² (a number of 29 digits) contains 22 as substring.

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, 6173979205 + ... + 6174012595.

Almost surely, 2^{206155897096900} is an apocalyptic number.

206155897096900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206155897096900 is the 14358130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206155897096900

206155897096900 is an abundant number, since it is smaller than the sum of its proper divisors (251861743798313).

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

206155897096900 is an frugal number, since it uses more digits than its factorization.

206155897096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66882 (or 33441 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 67.

The spelling of 206155897096900 in words is "two hundred six trillion, one hundred fifty-five billion, eight hundred ninety-seven million, ninety-six thousand, nine hundred".