105393360 has 160 divisors (see below), whose sum is σ = 347620608. Its totient is φ = 26357760.

The previous prime is 105393349. The next prime is 105393373. The reversal of 105393360 is 63393501.

105393360 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×105393360² = 22215520664179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336564 + ... + 336876.

Almost surely, 2^105393360 is an apocalyptic number.

105393360 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 105393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173810304).

105393360 is an abundant number, since it is smaller than the sum of its proper divisors (242227248).

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

105393360 is a wasteful number, since it uses less digits than its factorization.

105393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 105393360 is about 10266.1268256339. The cubic root of 105393360 is about 472.3577915309.

The spelling of 105393360 in words is "one hundred five million, three hundred ninety-three thousand, three hundred sixty".