10022900 has 36 divisors (see below), whose sum is σ = 22063692. Its totient is φ = 3951360.

The previous prime is 10022869. The next prime is 10022923. The reversal of 10022900 is 922001.

It can be written as a sum of positive squares in 6 ways, for example, as 524176 + 9498724 = 724^2 + 3082^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6614 + ... + 7986.

Almost surely, 2^10022900 is an apocalyptic number.

10022900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031846).

10022900 is an abundant number, since it is smaller than the sum of its proper divisors (12040792).

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

10022900 is a wasteful number, since it uses less digits than its factorization.

10022900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10022900 is about 3165.8963975468. The cubic root of 10022900 is about 215.6077988099.

Adding to 10022900 its reverse (922001), we get a palindrome (10944901).

The spelling of 10022900 in words is "ten million, twenty-two thousand, nine hundred".