105872 has 20 divisors (see below), whose sum is σ = 221340. Its totient is φ = 48768.

The previous prime is 105871. The next prime is 105883. The reversal of 105872 is 278501.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 55696 = 224^2 + 236^2 .

It is a super-2 number, since 2×105872² = 22417760768, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105872.

It is not an unprimeable number, because it can be changed into a prime (105871) 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, 47 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2¹⁰⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

105872 is an abundant number, since it is smaller than the sum of its proper divisors (115468).

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

105872 is a wasteful number, since it uses less digits than its factorization.

105872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105872 is about 325.3797781055. The cubic root of 105872 is about 47.3071776851.

It can be divided in two parts, 1058 and 72, that multiplied together give a square (76176 = 276²).

The spelling of 105872 in words is "one hundred five thousand, eight hundred seventy-two".