105658006608 has 320 divisors, whose sum is σ = 378644336640. Its totient is φ = 27405043200.

The previous prime is 105658006607. The next prime is 105658006651. The reversal of 105658006608 is 806600856501.

105658006608 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 580 + 0 + 6 + 60 + 8 = 666.

It is a super-2 number, since 2×105658006608² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105658006607) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29503378 + ... + 29506958.

It is an arithmetic number, because the mean of its divisors is an integer number (1183263552).

Almost surely, 2^105658006608 is an apocalyptic number.

105658006608 is a gapful number since it is divisible by the number (18) 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 105658006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189322168320).

105658006608 is an abundant number, since it is smaller than the sum of its proper divisors (272986330032).

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

105658006608 is a wasteful number, since it uses less digits than its factorization.

105658006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 105658006608 in words is "one hundred five billion, six hundred fifty-eight million, six thousand, six hundred eight".