105345299345 has 32 divisors (see below), whose sum is σ = 152137125504. Its totient is φ = 68996390400.

The previous prime is 105345299317. The next prime is 105345299351. The reversal of 105345299345 is 543992543501.

It is not a de Polignac number, because 105345299345 - 2⁶ = 105345299281 is a prime.

It is a super-2 number, since 2×105345299345² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 105345299293 and 105345299302.

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, 1767467 + ... + 1826096.

It is an arithmetic number, because the mean of its divisors is an integer number (4754285172).

Almost surely, 2^105345299345 is an apocalyptic number.

It is an amenable number.

105345299345 is a deficient number, since it is larger than the sum of its proper divisors (46791826159).

105345299345 is a wasteful number, since it uses less digits than its factorization.

105345299345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593633.

The product of its (nonzero) digits is 2916000, while the sum is 50.

The spelling of 105345299345 in words is "one hundred five billion, three hundred forty-five million, two hundred ninety-nine thousand, three hundred forty-five".