10506626 has 16 divisors (see below), whose sum is σ = 17144568. Its totient is φ = 4800000.

The previous prime is 10506623. The next prime is 10506637. The reversal of 10506626 is 62660501.

It can be written as a sum of positive squares in 4 ways, for example, as 7284601 + 3222025 = 2699^2 + 1795^2 .

It is a super-2 number, since 2×10506626² = 220778379807752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10506595 and 10506604.

It is not an unprimeable number, because it can be changed into a prime (10506623) 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 7 ways as a sum of consecutive naturals, for example, 626 + ... + 4626.

Almost surely, 2^10506626 is an apocalyptic number.

10506626 is a deficient number, since it is larger than the sum of its proper divisors (6637942).

10506626 is a wasteful number, since it uses less digits than its factorization.

10506626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 10506626 is about 3241.3926019537. The cubic root of 10506626 is about 219.0220087276.

It can be divided in two parts, 10506 and 626, that multiplied together give a palindrome (6576756).

The spelling of 10506626 in words is "ten million, five hundred six thousand, six hundred twenty-six".