10290000 has 200 divisors, whose sum is σ = 38737600. Its totient is φ = 2352000.

The previous prime is 10289971. The next prime is 10290019. The reversal of 10290000 is 9201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1469997 + ... + 1470003.

It is an arithmetic number, because the mean of its divisors is an integer number (193688).

Almost surely, 2^10290000 is an apocalyptic number.

10290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10290000 is the 1715-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368800).

10290000 is an abundant number, since it is smaller than the sum of its proper divisors (28447600).

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

10290000 is an frugal number, since it uses more digits than its factorization.

10290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10290000 is about 3207.8029864691. The cubic root of 10290000 is about 217.5062754168.

Adding to 10290000 its reverse (9201), we get a palindrome (10299201).

The spelling of 10290000 in words is "ten million, two hundred ninety thousand".