105676608 has 56 divisors (see below), whose sum is σ = 280753312. Its totient is φ = 35080704.

The previous prime is 105676591. The next prime is 105676619. The reversal of 105676608 is 806676501.

It is a super-2 number, since 2×105676608² = 22335090956771328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52191 + ... + 54177.

It is an arithmetic number, because the mean of its divisors is an integer number (5013452).

Almost surely, 2^105676608 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 105676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140376656).

105676608 is an abundant number, since it is smaller than the sum of its proper divisors (175076704).

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

105676608 is a wasteful number, since it uses less digits than its factorization.

105676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 105676608 is about 10279.9128400974. The cubic root of 105676608 is about 472.7805718638.

The spelling of 105676608 in words is "one hundred five million, six hundred seventy-six thousand, six hundred eight".