105816405345 has 16 divisors (see below), whose sum is σ = 193492855680. Its totient is φ = 48373213824.

The previous prime is 105816405287. The next prime is 105816405379. The reversal of 105816405345 is 543504618501.

It is not a de Polignac number, because 105816405345 - 2⁷ = 105816405217 is a prime.

It is a super-2 number, since 2×105816405345² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105816405297 and 105816405306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503887540 + ... + 503887749.

It is an arithmetic number, because the mean of its divisors is an integer number (12093303480).

Almost surely, 2^105816405345 is an apocalyptic number.

105816405345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105816405345 is a deficient number, since it is larger than the sum of its proper divisors (87676450335).

105816405345 is a wasteful number, since it uses less digits than its factorization.

105816405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007775304.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 105816405345 in words is "one hundred five billion, eight hundred sixteen million, four hundred five thousand, three hundred forty-five".