105340480 has 224 divisors, whose sum is σ = 311334912. Its totient is φ = 33177600.

The previous prime is 105340453. The next prime is 105340481. The reversal of 105340480 is 84043501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105340480² = 22193233453260800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105340481) 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, 2569260 + ... + 2569300.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^105340480 is an apocalyptic number.

105340480 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 105340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155667456).

105340480 is an abundant number, since it is smaller than the sum of its proper divisors (205994432).

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

105340480 is a wasteful number, since it uses less digits than its factorization.

105340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 105340480 is about 10263.5510424024. The cubic root of 105340480 is about 472.2787781449.

Adding to 105340480 its reverse (84043501), we get a palindrome (189383981).

The spelling of 105340480 in words is "one hundred five million, three hundred forty thousand, four hundred eighty".