10094220900 has 243 divisors, whose sum is σ = 33781895329. Its totient is φ = 2520591360.

The previous prime is 10094220893. The next prime is 10094220923. The reversal of 10094220900 is 902249001.

The square root of 10094220900 is 100470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1205604 + 10093015296 = 1098^2 + 100464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51239602 + ... + 51239798.

Almost surely, 2^10094220900 is an apocalyptic number.

10094220900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10094220900 is the 100470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094220900

10094220900 is an abundant number, since it is smaller than the sum of its proper divisors (23687674429).

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

10094220900 is a wasteful number, since it uses less digits than its factorization.

10094220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 10094220900 by its product of nonzero digits (1296), we get a square (13082110286400 = 3616920²).

Adding to 10094220900 its reverse (902249001), we get a palindrome (10996469901).

The spelling of 10094220900 in words is "ten billion, ninety-four million, two hundred twenty thousand, nine hundred".