105034000112 has 20 divisors (see below), whose sum is σ = 210068001216. Its totient is φ = 50822903040.

The previous prime is 105034000091. The next prime is 105034000139. The reversal of 105034000112 is 211000430501.

105034000112 is an admirable number.

It is a super-2 number, since 2×105034000112² (a number of 23 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 105880553 + ... + 105881544.

Almost surely, 2^105034000112 is an apocalyptic number.

It is an amenable number.

105034000112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105034000112 is a wasteful number, since it uses less digits than its factorization.

105034000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211762136 (or 211762130 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 105034000112 its reverse (211000430501), we get a palindrome (316034430613).

The spelling of 105034000112 in words is "one hundred five billion, thirty-four million, one hundred twelve", and thus it is an aban number.