540101045 has 24 divisors (see below), whose sum is σ = 724520160. Its totient is φ = 386117600.

The previous prime is 540101021. The next prime is 540101057.

540101045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540101045 - 2¹⁰ = 540100021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28130 + ... + 43260.

It is an arithmetic number, because the mean of its divisors is an integer number (30188340).

Almost surely, 2^540101045 is an apocalyptic number.

540101045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540101045 is a deficient number, since it is larger than the sum of its proper divisors (184419115).

540101045 is a wasteful number, since it uses less digits than its factorization.

540101045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15206 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 540101045 is about 23240.0741177820. The cubic root of 540101045 is about 814.3760740937.

It can be divided in two parts, 54010 and 1045, that added together give a palindrome (55055).

The spelling of 540101045 in words is "five hundred forty million, one hundred one thousand, forty-five".