10506629 has 12 divisors (see below), whose sum is σ = 12941964. Its totient is φ = 8475264.

The previous prime is 10506623. The next prime is 10506637. The reversal of 10506629 is 92660501.

10506629 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6385729 + 4120900 = 2527^2 + 2030^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10506629 is a prime.

It is a super-2 number, since 2×10506629² = 220778505887282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5474 + ... + 7139.

It is an arithmetic number, because the mean of its divisors is an integer number (1078497).

Almost surely, 2^10506629 is an apocalyptic number.

It is an amenable number.

10506629 is a deficient number, since it is larger than the sum of its proper divisors (2435335).

10506629 is a wasteful number, since it uses less digits than its factorization.

10506629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 10506629 is about 3241.3930647177. The cubic root of 10506629 is about 219.0220295737.

The spelling of 10506629 in words is "ten million, five hundred six thousand, six hundred twenty-nine".