105089946 has 48 divisors (see below), whose sum is σ = 231458400. Its totient is φ = 31786560.

The previous prime is 105089923. The next prime is 105089947. The reversal of 105089946 is 649980501.

It is a super-2 number, since 2×105089946² = 22087793500565832, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105089898 and 105089907.

It is not an unprimeable number, because it can be changed into a prime (105089947) by changing a digit.

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, 61005 + ... + 62703.

It is an arithmetic number, because the mean of its divisors is an integer number (4822050).

Almost surely, 2^105089946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105089946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115729200).

105089946 is an abundant number, since it is smaller than the sum of its proper divisors (126368454).

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

105089946 is a wasteful number, since it uses less digits than its factorization.

105089946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105089946 is about 10251.3387418425. The cubic root of 105089946 is about 471.9040699662.

The spelling of 105089946 in words is "one hundred five million, eighty-nine thousand, nine hundred forty-six".