10362500 has 36 divisors (see below), whose sum is σ = 22693860. Its totient is φ = 4140000.

The previous prime is 10362487. The next prime is 10362511. The reversal of 10362500 is 526301.

It can be written as a sum of positive squares in 6 ways, for example, as 8248384 + 2114116 = 2872^2 + 1454^2 .

It is a super-3 number, since 3×10362500³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12086 + ... + 12914.

It is an arithmetic number, because the mean of its divisors is an integer number (630385).

Almost surely, 2^10362500 is an apocalyptic number.

10362500 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 10362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346930).

10362500 is an abundant number, since it is smaller than the sum of its proper divisors (12331360).

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

10362500 is an frugal number, since it uses more digits than its factorization.

10362500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10362500 is about 3219.0837205640. The cubic root of 10362500 is about 218.0159065912.

Adding to 10362500 its reverse (526301), we get a palindrome (10888801).

The spelling of 10362500 in words is "ten million, three hundred sixty-two thousand, five hundred".