10299229200 has 540 divisors, whose sum is σ = 39945867780. Its totient is φ = 2442700800.

The previous prime is 10299229181. The next prime is 10299229247. The reversal of 10299229200 is 292299201.

It can be written as a sum of positive squares in 6 ways, for example, as 61027344 + 10238201856 = 7812^2 + 101184^2 .

It is a super-2 number, since 2×10299229200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44974686 + ... + 44974914.

Almost surely, 2^10299229200 is an apocalyptic number.

10299229200 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 10299229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19972933890).

10299229200 is an abundant number, since it is smaller than the sum of its proper divisors (29646638580).

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

10299229200 is a wasteful number, since it uses less digits than its factorization.

10299229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 10299229200 in words is "ten billion, two hundred ninety-nine million, two hundred twenty-nine thousand, two hundred".