105580378345 has 16 divisors (see below), whose sum is σ = 136576319040. Its totient is φ = 77890486464.

The previous prime is 105580378327. The next prime is 105580378411. The reversal of 105580378345 is 543873085501.

It is a cyclic number.

It is not a de Polignac number, because 105580378345 - 2¹⁷ = 105580247273 is a prime.

It is a super-2 number, since 2×105580378345² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730779 + ... + 863248.

It is an arithmetic number, because the mean of its divisors is an integer number (8536019940).

Almost surely, 2^105580378345 is an apocalyptic number.

It is an amenable number.

105580378345 is a deficient number, since it is larger than the sum of its proper divisors (30995940695).

105580378345 is a wasteful number, since it uses less digits than its factorization.

105580378345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595064.

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 105580378345 in words is "one hundred five billion, five hundred eighty million, three hundred seventy-eight thousand, three hundred forty-five".