105777625343 has 16 divisors (see below), whose sum is σ = 118402732896. Its totient is φ = 93857304960.

The previous prime is 105777625333. The next prime is 105777625363. The reversal of 105777625343 is 343526777501.

It is a cyclic number.

It is not a de Polignac number, because 105777625343 - 2¹⁰ = 105777624319 is a prime.

It is a super-2 number, since 2×105777625343² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105777625291 and 105777625300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105777625333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284848 + ... + 1364693.

It is an arithmetic number, because the mean of its divisors is an integer number (7400170806).

Almost surely, 2^105777625343 is an apocalyptic number.

105777625343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105777625343 is a deficient number, since it is larger than the sum of its proper divisors (12625107553).

105777625343 is a wasteful number, since it uses less digits than its factorization.

105777625343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649674.

The product of its (nonzero) digits is 3704400, while the sum is 50.

The spelling of 105777625343 in words is "one hundred five billion, seven hundred seventy-seven million, six hundred twenty-five thousand, three hundred forty-three".