105129112 has 24 divisors (see below), whose sum is σ = 215233740. Its totient is φ = 47742240.

The previous prime is 105129053. The next prime is 105129121. The reversal of 105129112 is 211921501.

It is a super-2 number, since 2×105129112² = 22104260379817088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95638 + ... + 96730.

Almost surely, 2^105129112 is an apocalyptic number.

It is an amenable number.

105129112 is an abundant number, since it is smaller than the sum of its proper divisors (110104628).

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

105129112 is an equidigital number, since it uses as much as digits as its factorization.

105129112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 105129112 is about 10253.2488509740. The cubic root of 105129112 is about 471.9626873693.

Multiplying 105129112 by its sum of digits (22), we get a square (2312840464 = 48092²).

105129112 divided by its sum of digits (22) gives a square (4778596 = 2186²).

The spelling of 105129112 in words is "one hundred five million, one hundred twenty-nine thousand, one hundred twelve".