21283892100 has 135 divisors (see below), whose sum is σ = 69036558591. Its totient is φ = 5672203200.

The previous prime is 21283892083. The next prime is 21283892107. The reversal of 21283892100 is 129838212.

The square root of 21283892100 is 145890.

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 423289476 + 20860602624 = 20574^2 + 144432^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (21283892107) 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, 13129290 + ... + 13130910.

Almost surely, 2^21283892100 is an apocalyptic number.

21283892100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21283892100 is the 145890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21283892100

21283892100 is an abundant number, since it is smaller than the sum of its proper divisors (47752666491).

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

21283892100 is an equidigital number, since it uses as much as digits as its factorization.

21283892100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 21283892100 by its sum of digits (36), we get a square (766220115600 = 875340²).

21283892100 divided by its sum of digits (36) gives a square (591219225 = 24315²).

The spelling of 21283892100 in words is "twenty-one billion, two hundred eighty-three million, eight hundred ninety-two thousand, one hundred".