105985908 has 144 divisors (see below), whose sum is σ = 326877824. Its totient is φ = 29393280.

The previous prime is 105985907. The next prime is 105985921. The reversal of 105985908 is 809589501.

105985908 is a `hidden beast` number, since 1 + 0 + 59 + 8 + 590 + 8 = 666.

It is a super-2 number, since 2×105985908² = 22466025389168928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105985903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251538 + ... + 251958.

Almost surely, 2^105985908 is an apocalyptic number.

105985908 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 105985908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163438912).

105985908 is an abundant number, since it is smaller than the sum of its proper divisors (220891916).

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

105985908 is a wasteful number, since it uses less digits than its factorization.

105985908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

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

The square root of 105985908 is about 10294.9457502213. The cubic root of 105985908 is about 473.2413758189.

The spelling of 105985908 in words is "one hundred five million, nine hundred eighty-five thousand, nine hundred eight".