105380713872105 has 32 divisors (see below), whose sum is σ = 192890608877568. Its totient is φ = 48125429035200.

The previous prime is 105380713872097. The next prime is 105380713872163. The reversal of 105380713872105 is 501278317083501.

It is a happy number.

It is not a de Polignac number, because 105380713872105 - 2³ = 105380713872097 is a prime.

It is a super-2 number, since 2×105380713872105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506266201 + ... + 506474310.

It is an arithmetic number, because the mean of its divisors is an integer number (6027831527424).

Almost surely, 2^{105380713872105} is an apocalyptic number.

105380713872105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105380713872105 is a deficient number, since it is larger than the sum of its proper divisors (87509895005463).

105380713872105 is a wasteful number, since it uses less digits than its factorization.

105380713872105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012741517.

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 105380713872105 in words is "one hundred five trillion, three hundred eighty billion, seven hundred thirteen million, eight hundred seventy-two thousand, one hundred five".