105089908 has 72 divisors (see below), whose sum is σ = 236718720. Its totient is φ = 40360320.

The previous prime is 105089891. The next prime is 105089911. The reversal of 105089908 is 809980501.

It is a super-2 number, since 2×105089908² = 22087777526896928, 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 23 ways as a sum of consecutive naturals, for example, 170016 + ... + 170632.

It is an arithmetic number, because the mean of its divisors is an integer number (3287760).

Almost surely, 2^105089908 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 105089908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118359360).

105089908 is an abundant number, since it is smaller than the sum of its proper divisors (131628812).

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

105089908 is a wasteful number, since it uses less digits than its factorization.

105089908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 105089908 is about 10251.3368884258. The cubic root of 105089908 is about 471.9040130868.

The spelling of 105089908 in words is "one hundred five million, eighty-nine thousand, nine hundred eight".