10189800 has 240 divisors, whose sum is σ = 38485260. Its totient is φ = 2488320.

The previous prime is 10189787. The next prime is 10189819. The reversal of 10189800 is 898101.

It can be written as a sum of positive squares in 6 ways, for example, as 7387524 + 2802276 = 2718^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275382 + ... + 275418.

Almost surely, 2^10189800 is an apocalyptic number.

10189800 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 10189800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242630).

10189800 is an abundant number, since it is smaller than the sum of its proper divisors (28295460).

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

10189800 is a wasteful number, since it uses less digits than its factorization.

10189800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10189800 is about 3192.1466131743. The cubic root of 10189800 is about 216.7979743187.

The spelling of 10189800 in words is "ten million, one hundred eighty-nine thousand, eight hundred".