10682500 has 30 divisors (see below), whose sum is σ = 23365958. Its totient is φ = 4272000.

The previous prime is 10682491. The next prime is 10682501. The reversal of 10682500 is 528601.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 5447556 + 5234944 = 2334^2 + 2288^2 .

It is a super-2 number, since 2×10682500² = 228231612500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10682501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 364 + ... + 4636.

Almost surely, 2^10682500 is an apocalyptic number.

10682500 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 10682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682979).

10682500 is an abundant number, since it is smaller than the sum of its proper divisors (12683458).

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

10682500 is an equidigital number, since it uses as much as digits as its factorization.

10682500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10682500 is about 3268.4093990808. The cubic root of 10682500 is about 220.2373471516.

The spelling of 10682500 in words is "ten million, six hundred eighty-two thousand, five hundred".