105480240 has 160 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 26112000.

The previous prime is 105480239. The next prime is 105480329. The reversal of 105480240 is 42084501.

It is a super-2 number, since 2×105480240² = 22252162060915200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105480240.

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, 420115 + ... + 420365.

Almost surely, 2^105480240 is an apocalyptic number.

105480240 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 105480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

105480240 is an abundant number, since it is smaller than the sum of its proper divisors (245497296).

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

105480240 is a wasteful number, since it uses less digits than its factorization.

105480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105480240 is about 10270.3573452923. The cubic root of 105480240 is about 472.4875504124.

The spelling of 105480240 in words is "one hundred five million, four hundred eighty thousand, two hundred forty".