10605083340 has 96 divisors (see below), whose sum is σ = 31191100416. Its totient is φ = 2687097600.

The previous prime is 10605083323. The next prime is 10605083351. The reversal of 10605083340 is 4338050601.

10605083340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10605083340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10605083298 and 10605083307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182934 + ... + 233826.

It is an arithmetic number, because the mean of its divisors is an integer number (324907296).

Almost surely, 2^10605083340 is an apocalyptic number.

10605083340 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 10605083340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595550208).

10605083340 is an abundant number, since it is smaller than the sum of its proper divisors (20586017076).

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

10605083340 is a wasteful number, since it uses less digits than its factorization.

10605083340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51079 (or 51077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10605083340 in words is "ten billion, six hundred five million, eighty-three thousand, three hundred forty".