413112105 has 96 divisors (see below), whose sum is σ = 868008960. Its totient is φ = 177730560.

The previous prime is 413112103. The next prime is 413112143. The reversal of 413112105 is 501211314.

413112105 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 413112105 - 2¹ = 413112103 is a prime.

It is a super-2 number, since 2×413112105² = 341323222595062050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413112103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373984 + ... + 375086.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2^413112105 is an apocalyptic number.

413112105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413112105 is an abundant number, since it is smaller than the sum of its proper divisors (454896855).

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

413112105 is a wasteful number, since it uses less digits than its factorization.

413112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 413112105 is about 20325.1594089690. The cubic root of 413112105 is about 744.7707986729.

Adding to 413112105 its reverse (501211314), we get a palindrome (914323419).

The spelling of 413112105 in words is "four hundred thirteen million, one hundred twelve thousand, one hundred five".