105603840 has 216 divisors, whose sum is σ = 373070880. Its totient is φ = 27574272.

The previous prime is 105603793. The next prime is 105603851. The reversal of 105603840 is 48306501.

105603840 is a `hidden beast` number, since 10 + 5 + 603 + 8 + 40 = 666.

It is a super-2 number, since 2×105603840² = 22304342045491200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025229 + ... + 1025331.

It is an arithmetic number, because the mean of its divisors is an integer number (1727180).

Almost surely, 2^105603840 is an apocalyptic number.

105603840 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 105603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

105603840 is an abundant number, since it is smaller than the sum of its proper divisors (267467040).

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

105603840 is a wasteful number, since it uses less digits than its factorization.

105603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

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

The square root of 105603840 is about 10276.3729009802. The cubic root of 105603840 is about 472.6720294060.

It can be divided in two parts, 10560 and 3840, that added together give a square (14400 = 120²).

The spelling of 105603840 in words is "one hundred five million, six hundred three thousand, eight hundred forty".