197660268100 has 81 divisors (see below), whose sum is σ = 448614498423. Its totient is φ = 75587413440.

The previous prime is 197660268097. The next prime is 197660268163. The reversal of 197660268100 is 1862066791.

The square root of 197660268100 is 444590.

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 367949124 + 197292318976 = 19182^2 + 444176^2 .

It is a super-2 number, since 2×197660268100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 102254734 + ... + 102256666.

Almost surely, 2^197660268100 is an apocalyptic number.

197660268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

197660268100 is the 444590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197660268100

197660268100 is an abundant number, since it is smaller than the sum of its proper divisors (250954230323).

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

197660268100 is an equidigital number, since it uses as much as digits as its factorization.

197660268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 197660268100 in words is "one hundred ninety-seven billion, six hundred sixty million, two hundred sixty-eight thousand, one hundred".