105243120 has 120 divisors (see below), whose sum is σ = 355329936. Its totient is φ = 27915264.

The previous prime is 105243119. The next prime is 105243137. The reversal of 105243120 is 21342501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105243120² = 22152228614668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105243093 and 105243102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225127 + ... + 225593.

Almost surely, 2^105243120 is an apocalyptic number.

105243120 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 105243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177664968).

105243120 is an abundant number, since it is smaller than the sum of its proper divisors (250086816).

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

105243120 is a wasteful number, since it uses less digits than its factorization.

105243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105243120 is about 10258.8069481787. The cubic root of 105243120 is about 472.1332334788.

Adding to 105243120 its reverse (21342501), we get a palindrome (126585621).

The spelling of 105243120 in words is "one hundred five million, two hundred forty-three thousand, one hundred twenty".