20195252100 has 135 divisors (see below), whose sum is σ = 65506514997. Its totient is φ = 5381989920.

The previous prime is 20195252093. The next prime is 20195252101. The reversal of 20195252100 is 125259102.

The square root of 20195252100 is 142110.

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

20195252100 is a `hidden beast` number, since 20 + 19 + 525 + 2 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7270290756 + 12924961344 = 85266^2 + 113688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20195252101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12789111 + ... + 12790689.

Almost surely, 2^20195252100 is an apocalyptic number.

20195252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20195252100 is the 142110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20195252100

20195252100 is an abundant number, since it is smaller than the sum of its proper divisors (45311262897).

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

20195252100 is an equidigital number, since it uses as much as digits as its factorization.

20195252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 20195252100 in words is "twenty billion, one hundred ninety-five million, two hundred fifty-two thousand, one hundred".