10506688 has 28 divisors (see below), whose sum is σ = 20987512. Its totient is φ = 5218560.

The previous prime is 10506673. The next prime is 10506689. The reversal of 10506688 is 88660501.

It is a happy number.

It is a super-2 number, since 2×10506688² = 220780985458688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506689) 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 3 ways as a sum of consecutive naturals, for example, 11131 + ... + 12037.

It is an arithmetic number, because the mean of its divisors is an integer number (749554).

Almost surely, 2^10506688 is an apocalyptic number.

It is an amenable number.

10506688 is a deficient number, since it is larger than the sum of its proper divisors (10480824).

10506688 is an equidigital number, since it uses as much as digits as its factorization.

10506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 10506688 is about 3241.4021657301. The cubic root of 10506688 is about 219.0224395458.

The spelling of 10506688 in words is "ten million, five hundred six thousand, six hundred eighty-eight".