10098019200 has 192 divisors, whose sum is σ = 33333045120. Its totient is φ = 2686924800.

The previous prime is 10098019187. The next prime is 10098019201. The reversal of 10098019200 is 291089001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10098019201) 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, 6056767 + ... + 6058433.

It is an arithmetic number, because the mean of its divisors is an integer number (173609610).

Almost surely, 2^10098019200 is an apocalyptic number.

10098019200 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 10098019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666522560).

10098019200 is an abundant number, since it is smaller than the sum of its proper divisors (23235025920).

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

10098019200 is a wasteful number, since it uses less digits than its factorization.

10098019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 10098019200 in words is "ten billion, ninety-eight million, nineteen thousand, two hundred".