10229849600 has 120 divisors (see below), whose sum is σ = 25653279960. Its totient is φ = 4042219520.

The previous prime is 10229849573. The next prime is 10229849611. The reversal of 10229849600 is 694892201.

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, 1057586 + ... + 1067214.

It is an arithmetic number, because the mean of its divisors is an integer number (213777333).

Almost surely, 2^10229849600 is an apocalyptic number.

10229849600 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 10229849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12826639980).

10229849600 is an abundant number, since it is smaller than the sum of its proper divisors (15423430360).

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

10229849600 is an frugal number, since it uses more digits than its factorization.

10229849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 10229849600 in words is "ten billion, two hundred twenty-nine million, eight hundred forty-nine thousand, six hundred".