105521303520 has 72 divisors (see below), whose sum is σ = 360091453176. Its totient is φ = 28139013888.

The previous prime is 105521303491. The next prime is 105521303533. The reversal of 105521303520 is 25303125501.

It is a happy number.

105521303520 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 2 + 130 + 3 + 520 = 666.

105521303520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105521303520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36637902 + ... + 36640781.

It is an arithmetic number, because the mean of its divisors is an integer number (5001270183).

Almost surely, 2^105521303520 is an apocalyptic number.

105521303520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105521303520 is an abundant number, since it is smaller than the sum of its proper divisors (254570149656).

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

105521303520 is a wasteful number, since it uses less digits than its factorization.

105521303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73278704 (or 73278693 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 105521303520 in words is "one hundred five billion, five hundred twenty-one million, three hundred three thousand, five hundred twenty".