105520354524 has 144 divisors (see below), whose sum is σ = 298277441280. Its totient is φ = 31419722880.

The previous prime is 105520354487. The next prime is 105520354531. The reversal of 105520354524 is 425453025501.

105520354524 is a `hidden beast` number, since 1 + 0 + 552 + 0 + 3 + 54 + 52 + 4 = 666.

It is a super-2 number, since 2×105520354524² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430334 + ... + 2473370.

It is an arithmetic number, because the mean of its divisors is an integer number (2071371120).

Almost surely, 2^105520354524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105520354524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149138720640).

105520354524 is an abundant number, since it is smaller than the sum of its proper divisors (192757086756).

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

105520354524 is a wasteful number, since it uses less digits than its factorization.

105520354524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43117 (or 43086 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 105520354524 in words is "one hundred five billion, five hundred twenty million, three hundred fifty-four thousand, five hundred twenty-four".