105305412 has 48 divisors (see below), whose sum is σ = 261031680. Its totient is φ = 32927232.

The previous prime is 105305411. The next prime is 105305413. The reversal of 105305412 is 214503501.

It is an interprime number because it is at equal distance from previous prime (105305411) and next prime (105305413).

It is a super-2 number, since 2×105305412² = 22178459592979488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105305411) 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, 78693 + ... + 80019.

It is an arithmetic number, because the mean of its divisors is an integer number (5438160).

Almost surely, 2^105305412 is an apocalyptic number.

105305412 is a gapful number since it is divisible by the number (12) 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 105305412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515840).

105305412 is an abundant number, since it is smaller than the sum of its proper divisors (155726268).

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

105305412 is a wasteful number, since it uses less digits than its factorization.

105305412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105305412 is about 10261.8425246152. The cubic root of 105305412 is about 472.2263648961.

Adding to 105305412 its reverse (214503501), we get a palindrome (319808913).

The spelling of 105305412 in words is "one hundred five million, three hundred five thousand, four hundred twelve".