10582003060 has 36 divisors (see below), whose sum is σ = 22592635884. Its totient is φ = 4163381760.

The previous prime is 10582003049. The next prime is 10582003063. The reversal of 10582003060 is 6030028501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 945439504 + 9636563556 = 30748^2 + 98166^2 .

It is a super-2 number, since 2×10582003060² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582003063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3324 + ... + 145516.

It is an arithmetic number, because the mean of its divisors is an integer number (627573219).

Almost surely, 2^10582003060 is an apocalyptic number.

10582003060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10582003060 is an abundant number, since it is smaller than the sum of its proper divisors (12010632824).

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

10582003060 is a wasteful number, since it uses less digits than its factorization.

10582003060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142324 (or 142261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 10582003060 in words is "ten billion, five hundred eighty-two million, three thousand, sixty".