105450 has 48 divisors (see below), whose sum is σ = 282720. Its totient is φ = 25920.

The previous prime is 105449. The next prime is 105467. The reversal of 105450 is 54501.

It is a super-2 number, since 2×105450² = 22239405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

It is a Curzon number.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (5890).

2¹⁰⁵⁴⁵⁰ is an apocalyptic number.

105450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

105450 is an abundant number, since it is smaller than the sum of its proper divisors (177270).

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

105450 is a wasteful number, since it uses less digits than its factorization.

105450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105450 is about 324.7306576226. The cubic root of 105450 is about 47.2442393806.

Adding to 105450 its reverse (54501), we get a palindrome (159951).

It can be divided in two parts, 105 and 450, that added together give a palindrome (555).

The spelling of 105450 in words is "one hundred five thousand, four hundred fifty".