105146162534145 has 16 divisors (see below), whose sum is σ = 168234349167360. Its totient is φ = 56077790313984.

The previous prime is 105146162534117. The next prime is 105146162534159. The reversal of 105146162534145 is 541435261641501.

It is not a de Polignac number, because 105146162534145 - 2⁶ = 105146162534081 is a prime.

It is a super-2 number, since 2×105146162534145² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105146162534094 and 105146162534103.

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, 4765360 + ... + 15264369.

It is an arithmetic number, because the mean of its divisors is an integer number (10514646822960).

Almost surely, 2^{105146162534145} is an apocalyptic number.

105146162534145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105146162534145 is a deficient number, since it is larger than the sum of its proper divisors (63088186633215).

105146162534145 is a wasteful number, since it uses less digits than its factorization.

105146162534145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379704.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 105146162534145 in words is "one hundred five trillion, one hundred forty-six billion, one hundred sixty-two million, five hundred thirty-four thousand, one hundred forty-five".