10099897600 has 216 divisors, whose sum is σ = 27089250552. Its totient is φ = 3706060800.

The previous prime is 10099897597. The next prime is 10099897601. The reversal of 10099897600 is 679899001.

It can be written as a sum of positive squares in 12 ways, for example, as 7142278144 + 2957619456 = 84512^2 + 54384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099897601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19385340 + ... + 19385860.

It is an arithmetic number, because the mean of its divisors is an integer number (125413197).

Almost surely, 2^10099897600 is an apocalyptic number.

10099897600 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 10099897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544625276).

10099897600 is an abundant number, since it is smaller than the sum of its proper divisors (16989352952).

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

10099897600 is a wasteful number, since it uses less digits than its factorization.

10099897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The spelling of 10099897600 in words is "ten billion, ninety-nine million, eight hundred ninety-seven thousand, six hundred".