105316872 has 32 divisors (see below), whose sum is σ = 263558880. Its totient is φ = 35070080.

The previous prime is 105316859. The next prime is 105316873. The reversal of 105316872 is 278613501.

It is a super-2 number, since 2×105316872² = 22183287055728768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105316873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34063 + ... + 37025.

It is an arithmetic number, because the mean of its divisors is an integer number (8236215).

Almost surely, 2^105316872 is an apocalyptic number.

105316872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105316872 is an abundant number, since it is smaller than the sum of its proper divisors (158242008).

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

105316872 is a wasteful number, since it uses less digits than its factorization.

105316872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 105316872 is about 10262.4008886810. The cubic root of 105316872 is about 472.2434944932.

The spelling of 105316872 in words is "one hundred five million, three hundred sixteen thousand, eight hundred seventy-two".