15010000 has 100 divisors (see below), whose sum is σ = 38737600. Its totient is φ = 5616000.

The previous prime is 15009989. The next prime is 15010001. The reversal of 15010000 is 1051.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189961 + ... + 190039.

It is an arithmetic number, because the mean of its divisors is an integer number (387376).

Almost surely, 2^15010000 is an apocalyptic number.

15010000 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 15010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368800).

15010000 is an abundant number, since it is smaller than the sum of its proper divisors (23727600).

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

15010000 is an equidigital number, since it uses as much as digits as its factorization.

15010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 15010000 is about 3874.2741255621. The cubic root of 15010000 is about 246.6759999715.

Adding to 15010000 its reverse (1051), we get a palindrome (15011051).

The spelling of 15010000 in words is "fifteen million, ten thousand".