10500610 has 16 divisors (see below), whose sum is σ = 19553400. Its totient is φ = 4055296.

The previous prime is 10500593. The next prime is 10500613. The reversal of 10500610 is 1600501.

It can be written as a sum of positive squares in 4 ways, for example, as 6848689 + 3651921 = 2617^2 + 1911^2 .

It is a super-2 number, since 2×10500610² = 220525620744200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500613) 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, 17815 + ... + 18394.

Almost surely, 2^10500610 is an apocalyptic number.

10500610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500610 is a deficient number, since it is larger than the sum of its proper divisors (9052790).

10500610 is a wasteful number, since it uses less digits than its factorization.

10500610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36245.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10500610 is about 3240.4644728804. The cubic root of 10500610 is about 218.9801973991.

The spelling of 10500610 in words is "ten million, five hundred thousand, six hundred ten".