105393120 has 144 divisors (see below), whose sum is σ = 386276688. Its totient is φ = 24084480.

The previous prime is 105393103. The next prime is 105393161. The reversal of 105393120 is 21393501.

It is a happy number.

It is a super-2 number, since 2×105393120² = 22215419486668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21280 + ... + 25760.

It is an arithmetic number, because the mean of its divisors is an integer number (2682477).

Almost surely, 2^105393120 is an apocalyptic number.

105393120 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 105393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193138344).

105393120 is an abundant number, since it is smaller than the sum of its proper divisors (280883568).

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

105393120 is a wasteful number, since it uses less digits than its factorization.

105393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 105393120 is about 10266.1151367009. The cubic root of 105393120 is about 472.3574329822.

The spelling of 105393120 in words is "one hundred five million, three hundred ninety-three thousand, one hundred twenty".