10189090800 has 360 divisors, whose sum is σ = 41354428544. Its totient is φ = 2274531840.

The previous prime is 10189090783. The next prime is 10189090801. The reversal of 10189090800 is 809098101.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10189090801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1078899 + ... + 1088301.

Almost surely, 2^10189090800 is an apocalyptic number.

10189090800 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 10189090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677214272).

10189090800 is an abundant number, since it is smaller than the sum of its proper divisors (31165337744).

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

10189090800 is a wasteful number, since it uses less digits than its factorization.

10189090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 10189090800 in words is "ten billion, one hundred eighty-nine million, ninety thousand, eight hundred".