105612 has 24 divisors (see below), whose sum is σ = 265776. Its totient is φ = 32448.

The previous prime is 105607. The next prime is 105613. The reversal of 105612 is 216501.

It is a super-2 number, since 2×105612² = 22307789088, which contains 22 as substring.

It is an Ulam number.

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

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 105591 and 105600.

It is not an unprimeable number, because it can be changed into a prime (105613) 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, 183 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (11074).

2¹⁰⁵⁶¹² is an apocalyptic number.

105612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105612 is an abundant number, since it is smaller than the sum of its proper divisors (160164).

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

105612 is a wasteful number, since it uses less digits than its factorization.

105612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105612 is about 324.9799993846. The cubic root of 105612 is about 47.2684203535.

Subtracting 105612 from its reverse (216501), we obtain a square (110889 = 333²).

It can be divided in two parts, 105 and 612, that added together give a palindrome (717).

The spelling of 105612 in words is "one hundred five thousand, six hundred twelve".