105955808 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 43453440.

The previous prime is 105955807. The next prime is 105955819. The reversal of 105955808 is 808559501.

It is a super-2 number, since 2×105955808² = 22453266497865728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105955807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762203 + ... + 762341.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^105955808 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 105955808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

105955808 is an abundant number, since it is smaller than the sum of its proper divisors (142979872).

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

105955808 is a wasteful number, since it uses less digits than its factorization.

105955808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 41.

The square root of 105955808 is about 10293.4837640130. The cubic root of 105955808 is about 473.1965713904.

The spelling of 105955808 in words is "one hundred five million, nine hundred fifty-five thousand, eight hundred eight".