10605311340 has 96 divisors (see below), whose sum is σ = 32045905920. Its totient is φ = 2605084416.

The previous prime is 10605311333. The next prime is 10605311341. The reversal of 10605311340 is 4311350601.

It is a super-2 number, since 2×10605311340² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10605311340.

It is not an unprimeable number, because it can be changed into a prime (10605311341) 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, 365901 + ... + 393819.

It is an arithmetic number, because the mean of its divisors is an integer number (333811520).

Almost surely, 2^10605311340 is an apocalyptic number.

10605311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022952960).

10605311340 is an abundant number, since it is smaller than the sum of its proper divisors (21440594580).

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

10605311340 is a wasteful number, since it uses less digits than its factorization.

10605311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28431 (or 28429 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10605311340 its reverse (4311350601), we get a palindrome (14916661941).

The spelling of 10605311340 in words is "ten billion, six hundred five million, three hundred eleven thousand, three hundred forty".