105350 has 36 divisors (see below), whose sum is σ = 233244. Its totient is φ = 35280.

The previous prime is 105341. The next prime is 105359. The reversal of 105350 is 53501.

It is an interprime number because it is at equal distance from previous prime (105341) and next prime (105359).

It is a super-2 number, since 2×105350² = 22197245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105359) by changing a digit.

105350 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 17 ways as a sum of consecutive naturals, for example, 2429 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (6479).

2¹⁰⁵³⁵⁰ is an apocalyptic number.

105350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105350 is an abundant number, since it is smaller than the sum of its proper divisors (127894).

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

105350 is a wasteful number, since it uses less digits than its factorization.

105350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 105350 is about 324.5766473423. The cubic root of 105350 is about 47.2293004897.

Adding to 105350 its reverse (53501), we get a palindrome (158851).

It can be divided in two parts, 1053 and 50, that multiplied together give a triangular number (52650 = T₃₂₄).

The spelling of 105350 in words is "one hundred five thousand, three hundred fifty".