20053392100 has 225 divisors, whose sum is σ = 53938288397. Its totient is φ = 6471010560.

The previous prime is 20053392077. The next prime is 20053392119. The reversal of 20053392100 is 129335002.

It is a happy number.

The square root of 20053392100 is 141610.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2185188516 + 17868203584 = 46746^2 + 133672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1179611292 + ... + 1179611308.

Almost surely, 2^20053392100 is an apocalyptic number.

20053392100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20053392100 is the 141610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20053392100

20053392100 is an abundant number, since it is smaller than the sum of its proper divisors (33884896297).

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

20053392100 is an frugal number, since it uses more digits than its factorization.

20053392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Multiplying 20053392100 by its sum of digits (25), we get a square (501334802500 = 708050²).

20053392100 divided by its sum of digits (25) gives a square (802135684 = 28322²).

The spelling of 20053392100 in words is "twenty billion, fifty-three million, three hundred ninety-two thousand, one hundred".