105204513020 has 48 divisors (see below), whose sum is σ = 223470213120. Its totient is φ = 41598104064.

The previous prime is 105204513019. The next prime is 105204513031. The reversal of 105204513020 is 20315402501.

It is a super-2 number, since 2×105204513020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12450437 + ... + 12458883.

It is an arithmetic number, because the mean of its divisors is an integer number (4655629440).

Almost surely, 2^105204513020 is an apocalyptic number.

105204513020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105204513020 is an abundant number, since it is smaller than the sum of its proper divisors (118265700100).

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

105204513020 is a wasteful number, since it uses less digits than its factorization.

105204513020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 105204513020 its reverse (20315402501), we get a palindrome (125519915521).

The spelling of 105204513020 in words is "one hundred five billion, two hundred four million, five hundred thirteen thousand, twenty".