105772872 has 16 divisors (see below), whose sum is σ = 264432240. Its totient is φ = 35257616.

The previous prime is 105772871. The next prime is 105772873. The reversal of 105772872 is 278277501.

It is an interprime number because it is at equal distance from previous prime (105772871) and next prime (105772873).

It is a super-2 number, since 2×105772872² = 22375800902256768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105772872.

It is not an unprimeable number, because it can be changed into a prime (105772871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2203578 + ... + 2203625.

It is an arithmetic number, because the mean of its divisors is an integer number (16527015).

Almost surely, 2^105772872 is an apocalyptic number.

105772872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105772872 is an abundant number, since it is smaller than the sum of its proper divisors (158659368).

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

105772872 is a wasteful number, since it uses less digits than its factorization.

105772872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407212 (or 4407208 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 105772872 is about 10284.5939151723. The cubic root of 105772872 is about 472.9240849757.

The spelling of 105772872 in words is "one hundred five million, seven hundred seventy-two thousand, eight hundred seventy-two".