105304420520 has 48 divisors (see below), whose sum is σ = 256562709660. Its totient is φ = 38881629696.

The previous prime is 105304420511. The next prime is 105304420547. The reversal of 105304420520 is 25024403501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41809156 + 105262611364 = 6466^2 + 324442^2 .

It is a super-2 number, since 2×105304420520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 105304420520.

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, 7782029 + ... + 7795548.

Almost surely, 2^105304420520 is an apocalyptic number.

105304420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105304420520 is an abundant number, since it is smaller than the sum of its proper divisors (151258289140).

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

105304420520 is a wasteful number, since it uses less digits than its factorization.

105304420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15577614 (or 15577597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 105304420520 in words is "one hundred five billion, three hundred four million, four hundred twenty thousand, five hundred twenty".