105906608 has 80 divisors (see below), whose sum is σ = 229672800. Its totient is φ = 47093760.

The previous prime is 105906599. The next prime is 105906629. The reversal of 105906608 is 806609501.

It is a super-2 number, since 2×105906608² = 22432419236131328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361310 + ... + 361602.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^105906608 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 105906608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114836400).

105906608 is an abundant number, since it is smaller than the sum of its proper divisors (123766192).

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

105906608 is a wasteful number, since it uses less digits than its factorization.

105906608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 105906608 is about 10291.0936250721. The cubic root of 105906608 is about 473.1233179709.

The spelling of 105906608 in words is "one hundred five million, nine hundred six thousand, six hundred eight".