10229299600 has 135 divisors (see below), whose sum is σ = 26680351593. Its totient is φ = 3767262720.

The previous prime is 10229299589. The next prime is 10229299607. The reversal of 10229299600 is 699292201.

The square root of 10229299600 is 101140.

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 10222827664 + 6471936 = 101108^2 + 2544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10229299607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26296206 + ... + 26296594.

Almost surely, 2^10229299600 is an apocalyptic number.

10229299600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10229299600 is the 101140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229299600

10229299600 is an abundant number, since it is smaller than the sum of its proper divisors (16451051993).

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

10229299600 is an equidigital number, since it uses as much as digits as its factorization.

10229299600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 10229299600 in words is "ten billion, two hundred twenty-nine million, two hundred ninety-nine thousand, six hundred".