105468480 has 280 divisors, whose sum is σ = 405319992. Its totient is φ = 25878528.

The previous prime is 105468439. The next prime is 105468529. The reversal of 105468480 is 84864501.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 100160064 = 2304^2 + 10008^2 .

It is a super-2 number, since 2×105468480² = 22247200547020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336804 + ... + 337116.

Almost surely, 2^105468480 is an apocalyptic number.

105468480 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 105468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202659996).

105468480 is an abundant number, since it is smaller than the sum of its proper divisors (299851512).

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

105468480 is a wasteful number, since it uses less digits than its factorization.

105468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 105468480 is about 10269.7848078721. The cubic root of 105468480 is about 472.4699905355.

The spelling of 105468480 in words is "one hundred five million, four hundred sixty-eight thousand, four hundred eighty".