10506837 has 32 divisors (see below), whose sum is σ = 16220160. Its totient is φ = 5987520.

The previous prime is 10506767. The next prime is 10506841. The reversal of 10506837 is 73860501.

It is not a de Polignac number, because 10506837 - 2¹¹ = 10504789 is a prime.

It is a super-2 number, since 2×10506837² = 220787247489138, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82668 + ... + 82794.

It is an arithmetic number, because the mean of its divisors is an integer number (506880).

Almost surely, 2^10506837 is an apocalyptic number.

It is an amenable number.

10506837 is a deficient number, since it is larger than the sum of its proper divisors (5713323).

10506837 is a wasteful number, since it uses less digits than its factorization.

10506837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10506837 is about 3241.4251495291. The cubic root of 10506837 is about 219.0234748923.

It can be divided in two parts, 1050 and 6837, that added together give a palindrome (7887).

The spelling of 10506837 in words is "ten million, five hundred six thousand, eight hundred thirty-seven".