105276 has 24 divisors (see below), whose sum is σ = 254464. Its totient is φ = 33840.

The previous prime is 105269. The next prime is 105277. The reversal of 105276 is 672501.

It is a super-3 number, since 3×105276³ = 3500333149393728, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105277) by changing a digit.

105276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 513.

2¹⁰⁵²⁷⁶ is an apocalyptic number.

It is an amenable number.

105276 is an abundant number, since it is smaller than the sum of its proper divisors (149188).

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

105276 is a wasteful number, since it uses less digits than its factorization.

105276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105276 is about 324.4626326713. The cubic root of 105276 is about 47.2182396231.

Adding to 105276 its reverse (672501), we get a palindrome (777777).

It can be divided in two parts, 1052 and 76, that added together give a triangular number (1128 = T₄₇).

The spelling of 105276 in words is "one hundred five thousand, two hundred seventy-six".