10966131 has 16 divisors (see below), whose sum is σ = 17723520. Its totient is φ = 6645960.

The previous prime is 10966117. The next prime is 10966159. The reversal of 10966131 is 13166901.

It is not a de Polignac number, because 10966131 - 2⁵ = 10966099 is a prime.

It is a super-2 number, since 2×10966131² = 240512058218322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10966095 and 10966104.

It is not an unprimeable number, because it can be changed into a prime (10966531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18165 + ... + 18758.

It is an arithmetic number, because the mean of its divisors is an integer number (1107720).

Almost surely, 2^10966131 is an apocalyptic number.

10966131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10966131 is a deficient number, since it is larger than the sum of its proper divisors (6757389).

10966131 is a wasteful number, since it uses less digits than its factorization.

10966131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36943 (or 36937 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10966131 is about 3311.5149101280. The cubic root of 10966131 is about 222.1695199002.

It can be divided in two parts, 1096 and 6131, that added together give a palindrome (7227).

The spelling of 10966131 in words is "ten million, nine hundred sixty-six thousand, one hundred thirty-one".