10189080 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2361600.

The previous prime is 10189079. The next prime is 10189099. The reversal of 10189080 is 8098101.

10189080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122719 + ... + 122801.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^10189080 is an apocalyptic number.

10189080 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 10189080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10189080 is an abundant number, since it is smaller than the sum of its proper divisors (27550440).

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

10189080 is a wasteful number, since it uses less digits than its factorization.

10189080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

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

The square root of 10189080 is about 3192.0338344071. The cubic root of 10189080 is about 216.7928679634.

The spelling of 10189080 in words is "ten million, one hundred eighty-nine thousand, eighty".