105260 has 24 divisors (see below), whose sum is σ = 233520. Its totient is φ = 39744.

The previous prime is 105253. The next prime is 105263. The reversal of 105260 is 62501.

It is a super-2 number, since 2×105260² = 22159335200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105263) 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, 242 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (9730).

2¹⁰⁵²⁶⁰ is an apocalyptic number.

105260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116760).

105260 is an abundant number, since it is smaller than the sum of its proper divisors (128260).

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

105260 is a wasteful number, since it uses less digits than its factorization.

105260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105260 is about 324.4379755824. The cubic root of 105260 is about 47.2158474030.

Adding to 105260 its reverse (62501), we get a palindrome (167761).

The spelling of 105260 in words is "one hundred five thousand, two hundred sixty".