105959808 has 192 divisors, whose sum is σ = 330969600. Its totient is φ = 32431104.

The previous prime is 105959731. The next prime is 105959809. The reversal of 105959808 is 808959501.

105959808 is a `hidden beast` number, since 1 + 0 + 59 + 598 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105959808² = 22454961822793728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105959809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028685 + ... + 1028787.

It is an arithmetic number, because the mean of its divisors is an integer number (1723800).

Almost surely, 2^105959808 is an apocalyptic number.

105959808 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 105959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165484800).

105959808 is an abundant number, since it is smaller than the sum of its proper divisors (225009792).

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

105959808 is a wasteful number, since it uses less digits than its factorization.

105959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 105959808 is about 10293.6780598579. The cubic root of 105959808 is about 473.2025259561.

The spelling of 105959808 in words is "one hundred five million, nine hundred fifty-nine thousand, eight hundred eight".