10506340 has 48 divisors (see below), whose sum is σ = 25168752. Its totient is φ = 3649536.

The previous prime is 10506317. The next prime is 10506343. The reversal of 10506340 is 4360501.

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 10201636 = 552^2 + 3194^2 .

It is a super-2 number, since 2×10506340² = 220766360391200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3232 + ... + 5608.

It is an arithmetic number, because the mean of its divisors is an integer number (524349).

Almost surely, 2^10506340 is an apocalyptic number.

10506340 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 10506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584376).

10506340 is an abundant number, since it is smaller than the sum of its proper divisors (14662412).

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

10506340 is a wasteful number, since it uses less digits than its factorization.

10506340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10506340 is about 3241.3484848131. The cubic root of 10506340 is about 219.0200213829.

Adding to 10506340 its reverse (4360501), we get a palindrome (14866841).

The spelling of 10506340 in words is "ten million, five hundred six thousand, three hundred forty".