10661310 has 96 divisors (see below), whose sum is σ = 30831840. Its totient is φ = 2555520.

The previous prime is 10661297. The next prime is 10661311. The reversal of 10661310 is 1316601.

10661310 is a `hidden beast` number, since 1 + 0 + 661 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×10661310² = 227327061832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119746 + ... + 119834.

It is an arithmetic number, because the mean of its divisors is an integer number (321165).

Almost surely, 2^10661310 is an apocalyptic number.

10661310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415920).

10661310 is an abundant number, since it is smaller than the sum of its proper divisors (20170530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10661310 is a wasteful number, since it uses less digits than its factorization.

10661310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10661310 is about 3265.1661519745. The cubic root of 10661310 is about 220.0916284987.

10661310 divided by its sum of digits (18) gives a palindrome (592295).

Adding to 10661310 its reverse (1316601), we get a palindrome (11977911).

It can be divided in two parts, 106 and 61310, that added together give a palindrome (61416).

The spelling of 10661310 in words is "ten million, six hundred sixty-one thousand, three hundred ten".