105360480 has 192 divisors, whose sum is σ = 381931200. Its totient is φ = 27127296.

The previous prime is 105360457. The next prime is 105360487. The reversal of 105360480 is 84063501.

105360480 is a `hidden beast` number, since 1 + 0 + 53 + 604 + 8 + 0 = 666.

It is a super-2 number, since 2×105360480² = 22201661491660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105360487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3633106 + ... + 3633134.

It is an arithmetic number, because the mean of its divisors is an integer number (1989225).

Almost surely, 2^105360480 is an apocalyptic number.

105360480 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 105360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190965600).

105360480 is an abundant number, since it is smaller than the sum of its proper divisors (276570720).

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

105360480 is an frugal number, since it uses more digits than its factorization.

105360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105360480 is about 10264.5253178118. The cubic root of 105360480 is about 472.3086652875.

The spelling of 105360480 in words is "one hundred five million, three hundred sixty thousand, four hundred eighty".