10506610 has 16 divisors (see below), whose sum is σ = 18985176. Its totient is φ = 4186368.

The previous prime is 10506599. The next prime is 10506611. The reversal of 10506610 is 1660501.

It can be written as a sum of positive squares in 4 ways, for example, as 4941729 + 5564881 = 2223^2 + 2359^2 .

It is a super-2 number, since 2×10506610² = 220777707384200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 4666.

Almost surely, 2^10506610 is an apocalyptic number.

10506610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506610 is a deficient number, since it is larger than the sum of its proper divisors (8478566).

10506610 is a wasteful number, since it uses less digits than its factorization.

10506610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10506610 is about 3241.3901338777. The cubic root of 10506610 is about 219.0218975484.

The spelling of 10506610 in words is "ten million, five hundred six thousand, six hundred ten".