105375 has 16 divisors (see below), whose sum is σ = 175968. Its totient is φ = 56000.

The previous prime is 105373. The next prime is 105379. The reversal of 105375 is 573501.

It is a happy number.

It is not a de Polignac number, because 105375 - 2¹ = 105373 is a prime.

It is a super-2 number, since 2×105375² = 22207781250, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (10998).

2¹⁰⁵³⁷⁵ is an apocalyptic number.

105375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105375 is a deficient number, since it is larger than the sum of its proper divisors (70593).

105375 is an equidigital number, since it uses as much as digits as its factorization.

105375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 105375 is about 324.6151567626. The cubic root of 105375 is about 47.2330360983.

Adding to 105375 its reverse (573501), we get a palindrome (678876).

It can be divided in two parts, 1053 and 75, that added together give a triangular number (1128 = T₄₇).

The spelling of 105375 in words is "one hundred five thousand, three hundred seventy-five".