105113412 has 36 divisors (see below), whose sum is σ = 267111936. Its totient is φ = 34852080.

The previous prime is 105113399. The next prime is 105113447. The reversal of 105113412 is 214311501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105113412² = 22097658764563488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 768 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (7419776).

Almost surely, 2^105113412 is an apocalyptic number.

105113412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105113412 is an abundant number, since it is smaller than the sum of its proper divisors (161998524).

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

105113412 is a wasteful number, since it uses less digits than its factorization.

105113412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15483 counting only the distinct ones).

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

The square root of 105113412 is about 10252.4832113981. The cubic root of 105113412 is about 471.9391918695.

Adding to 105113412 its reverse (214311501), we get a palindrome (319424913).

The spelling of 105113412 in words is "one hundred five million, one hundred thirteen thousand, four hundred twelve".