105012872 has 16 divisors (see below), whose sum is σ = 203251200. Its totient is φ = 50812560.

The previous prime is 105012863. The next prime is 105012877. The reversal of 105012872 is 278210501.

It is a super-2 number, since 2×105012872² = 22055406571376768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211472 + ... + 211967.

It is an arithmetic number, because the mean of its divisors is an integer number (12703200).

Almost surely, 2^105012872 is an apocalyptic number.

It is an amenable number.

105012872 is a deficient number, since it is larger than the sum of its proper divisors (98238328).

105012872 is a wasteful number, since it uses less digits than its factorization.

105012872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423476 (or 423472 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 105012872 is about 10247.5788359983. The cubic root of 105012872 is about 471.7886753890.

The spelling of 105012872 in words is "one hundred five million, twelve thousand, eight hundred seventy-two".