10506410 has 16 divisors (see below), whose sum is σ = 19564200. Its totient is φ = 4057536.

The previous prime is 10506407. The next prime is 10506421. The reversal of 10506410 is 1460501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8637721 + 1868689 = 2939^2 + 1367^2 .

It is a super-2 number, since 2×10506410² = 220769302176200, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17825 + ... + 18404.

Almost surely, 2^10506410 is an apocalyptic number.

10506410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506410 is a deficient number, since it is larger than the sum of its proper divisors (9057790).

10506410 is a wasteful number, since it uses less digits than its factorization.

10506410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36265.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10506410 is about 3241.3592827701. The cubic root of 10506410 is about 219.0205077992.

Adding to 10506410 its reverse (1460501), we get a palindrome (11966911).

The spelling of 10506410 in words is "ten million, five hundred six thousand, four hundred ten".