105417306 has 48 divisors (see below), whose sum is σ = 245980800. Its totient is φ = 32505984.

The previous prime is 105417283. The next prime is 105417313. The reversal of 105417306 is 603714501.

It is a super-2 number, since 2×105417306² = 22225616808595272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105417306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15135 + ... + 20973.

It is an arithmetic number, because the mean of its divisors is an integer number (5124600).

Almost surely, 2^105417306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105417306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122990400).

105417306 is an abundant number, since it is smaller than the sum of its proper divisors (140563494).

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

105417306 is a wasteful number, since it uses less digits than its factorization.

105417306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105417306 is about 10267.2930220190. The cubic root of 105417306 is about 472.3935629911.

The spelling of 105417306 in words is "one hundred five million, four hundred seventeen thousand, three hundred six".