105205404523320 has 96 divisors (see below), whose sum is σ = 342227554718400. Its totient is φ = 28029339461376.

The previous prime is 105205404523313. The next prime is 105205404523381. The reversal of 105205404523320 is 23325404502501.

105205404523320 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 540 + 45 + 2 + 33 + 20 = 666.

It is a super-2 number, since 2×105205404523320² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 132076735 + ... + 132870894.

It is an arithmetic number, because the mean of its divisors is an integer number (3564870361650).

Almost surely, 2^{105205404523320} is an apocalyptic number.

105205404523320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105205404523320 is an abundant number, since it is smaller than the sum of its proper divisors (237022150195080).

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

105205404523320 is a wasteful number, since it uses less digits than its factorization.

105205404523320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264948749 (or 264948742 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 105205404523320 in words is "one hundred five trillion, two hundred five billion, four hundred four million, five hundred twenty-three thousand, three hundred twenty".