105336030520 has 64 divisors (see below), whose sum is σ = 274906874880. Its totient is φ = 35576171136.

The previous prime is 105336030517. The next prime is 105336030529. The reversal of 105336030520 is 25030633501.

It is a super-2 number, since 2×105336030520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105336030529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788704 + ... + 2826223.

It is an arithmetic number, because the mean of its divisors is an integer number (4295419920).

Almost surely, 2^105336030520 is an apocalyptic number.

105336030520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105336030520 is an abundant number, since it is smaller than the sum of its proper divisors (169570844360).

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

105336030520 is a wasteful number, since it uses less digits than its factorization.

105336030520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615012 (or 5615008 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 105336030520 in words is "one hundred five billion, three hundred thirty-six million, thirty thousand, five hundred twenty".