54106860145 has 32 divisors (see below), whose sum is σ = 71398791072. Its totient is φ = 39120371712.

The previous prime is 54106860131. The next prime is 54106860167.

54106860145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 3243530304 + 50863329841 = 56952^2 + 225529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54106860145 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54106860098 and 54106860107.

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, 608449 + ... + 691681.

It is an arithmetic number, because the mean of its divisors is an integer number (2231212221).

Almost surely, 2^54106860145 is an apocalyptic number.

It is an amenable number.

54106860145 is a deficient number, since it is larger than the sum of its proper divisors (17291930927).

54106860145 is a wasteful number, since it uses less digits than its factorization.

54106860145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83461.

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 54106860145 in words is "fifty-four billion, one hundred six million, eight hundred sixty thousand, one hundred forty-five".