196852404768100 has 81 divisors (see below), whose sum is σ = 428448911438457. Its totient is φ = 78505868357280.

The previous prime is 196852404768077. The next prime is 196852404768137. The reversal of 196852404768100 is 1867404258691.

The square root of 196852404768100 is 14030410.

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., 70866865716516 + 125985539051584 = 8418246^2 + 11224328^2 .

It is a super-2 number, since 2×196852404768100² (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, 51491602789 + ... + 51491606611.

Almost surely, 2^{196852404768100} is an apocalyptic number.

196852404768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196852404768100 is the 14030410-th square number.

It is an amenable number.

196852404768100 is an abundant number, since it is smaller than the sum of its proper divisors (231596506670357).

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

196852404768100 is an frugal number, since it uses more digits than its factorization.

196852404768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 196852404768100 in words is "one hundred ninety-six trillion, eight hundred fifty-two billion, four hundred four million, seven hundred sixty-eight thousand, one hundred".