10609582104 has 192 divisors, whose sum is σ = 32539852800. Its totient is φ = 3093811200.

The previous prime is 10609582097. The next prime is 10609582147. The reversal of 10609582104 is 40128590601.

10609582104 is a `hidden beast` number, since 1 + 0 + 60 + 9 + 582 + 10 + 4 = 666.

It is a super-2 number, since 2×10609582104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4737417 + ... + 4739655.

It is an arithmetic number, because the mean of its divisors is an integer number (169478400).

Almost surely, 2^10609582104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609582104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269926400).

10609582104 is an abundant number, since it is smaller than the sum of its proper divisors (21930270696).

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

10609582104 is a wasteful number, since it uses less digits than its factorization.

10609582104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10609582104 in words is "ten billion, six hundred nine million, five hundred eighty-two thousand, one hundred four".