105355520 has 72 divisors (see below), whose sum is σ = 257286456. Its totient is φ = 41320448.

The previous prime is 105355519. The next prime is 105355531. The reversal of 105355520 is 25553501.

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 100962304 = 2096^2 + 10048^2 .

It is a super-4 number, since 4×105355520⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105355520.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67064 + ... + 68616.

It is an arithmetic number, because the mean of its divisors is an integer number (3573423).

Almost surely, 2^105355520 is an apocalyptic number.

105355520 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 105355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128643228).

105355520 is an abundant number, since it is smaller than the sum of its proper divisors (151930936).

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

105355520 is an equidigital number, since it uses as much as digits as its factorization.

105355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 105355520 is about 10264.2837061336. The cubic root of 105355520 is about 472.3012536289.

The spelling of 105355520 in words is "one hundred five million, three hundred fifty-five thousand, five hundred twenty".