105013043412 has 48 divisors (see below), whose sum is σ = 253509600960. Its totient is φ = 33793322752.

The previous prime is 105013043363. The next prime is 105013043479. The reversal of 105013043412 is 214340310501.

It is a happy number.

It is a super-3 number, since 3×105013043412³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4881103 + ... + 4902569.

It is an arithmetic number, because the mean of its divisors is an integer number (5281450020).

Almost surely, 2^105013043412 is an apocalyptic number.

105013043412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105013043412 is an abundant number, since it is smaller than the sum of its proper divisors (148496557548).

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

105013043412 is a wasteful number, since it uses less digits than its factorization.

105013043412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35560 (or 35558 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105013043412 its reverse (214340310501), we get a palindrome (319353353913).

The spelling of 105013043412 in words is "one hundred five billion, thirteen million, forty-three thousand, four hundred twelve".