105345314041540 has 12 divisors (see below), whose sum is σ = 221225159487276. Its totient is φ = 42138125616608.

The previous prime is 105345314041537. The next prime is 105345314041543. The reversal of 105345314041540 is 45140413543501.

It is an interprime number because it is at equal distance from previous prime (105345314041537) and next prime (105345314041543).

It can be written as a sum of positive squares in 2 ways, for example, as 82948341329604 + 22396972711936 = 9107598^2 + 4732544^2 .

It is a super-2 number, since 2×105345314041540² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345314041493 and 105345314041502.

It is not an unprimeable number, because it can be changed into a prime (105345314041543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2633632851019 + ... + 2633632851058.

It is an arithmetic number, because the mean of its divisors is an integer number (18435429957273).

Almost surely, 2^{105345314041540} is an apocalyptic number.

105345314041540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105345314041540 is an abundant number, since it is smaller than the sum of its proper divisors (115879845445736).

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

105345314041540 is a wasteful number, since it uses less digits than its factorization.

105345314041540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267265702086 (or 5267265702084 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 105345314041540 in words is "one hundred five trillion, three hundred forty-five billion, three hundred fourteen million, forty-one thousand, five hundred forty".