10098841200 has 720 divisors, whose sum is σ = 39754955520. Its totient is φ = 2182656000.

The previous prime is 10098841163. The next prime is 10098841217. The reversal of 10098841200 is 214889001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142237165 + ... + 142237235.

It is an arithmetic number, because the mean of its divisors is an integer number (55215216).

Almost surely, 2^10098841200 is an apocalyptic number.

10098841200 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 10098841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877477760).

10098841200 is an abundant number, since it is smaller than the sum of its proper divisors (29656114320).

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

10098841200 is a wasteful number, since it uses less digits than its factorization.

10098841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 10098841200 in words is "ten billion, ninety-eight million, eight hundred forty-one thousand, two hundred".