195720100 has 27 divisors (see below), whose sum is σ = 425016417. Its totient is φ = 78232080.

The previous prime is 195720097. The next prime is 195720103. The reversal of 195720100 is 1027591.

The square root of 195720100 is 13990.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (195720097) and next prime (195720103).

It can be written as a sum of positive squares in only one way, i.e., 70459236 + 125260864 = 8394^2 + 11192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195720103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139201 + ... + 140599.

Almost surely, 2^195720100 is an apocalyptic number.

195720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195720100 is the 13990-th square number.

It is an amenable number.

195720100 is an abundant number, since it is smaller than the sum of its proper divisors (229296317).

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

195720100 is an equidigital number, since it uses as much as digits as its factorization.

195720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The cubic root of 195720100 is about 580.6019315718.

Multiplying 195720100 by its sum of digits (25), we get a square (4893002500 = 69950²).

195720100 divided by its sum of digits (25) gives a square (7828804 = 2798²).

Adding to 195720100 its reverse (1027591), we get a palindrome (196747691).

The spelling of 195720100 in words is "one hundred ninety-five million, seven hundred twenty thousand, one hundred".