10012500 has 108 divisors (see below), whose sum is σ = 31990140. Its totient is φ = 2640000.

The previous prime is 10012469. The next prime is 10012501. The reversal of 10012500 is 521001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9326916 + 685584 = 3054^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112456 + ... + 112544.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^10012500 is an apocalyptic number.

10012500 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 10012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995070).

10012500 is an abundant number, since it is smaller than the sum of its proper divisors (21977640).

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

10012500 is an equidigital number, since it uses as much as digits as its factorization.

10012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10012500 is about 3164.2534664593. The cubic root of 10012500 is about 215.5331997378.

Adding to 10012500 its reverse (521001), we get a palindrome (10533501).

The spelling of 10012500 in words is "ten million, twelve thousand, five hundred".