542106160 has 80 divisors (see below), whose sum is σ = 1312058880. Its totient is φ = 208131840.

The previous prime is 542106143. The next prime is 542106181. The reversal of 542106160 is 61601245.

It is a tau number, because it is divible by the number of its divisors (80).

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, 201625 + ... + 204295.

It is an arithmetic number, because the mean of its divisors is an integer number (16400736).

Almost surely, 2^542106160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656029440).

542106160 is an abundant number, since it is smaller than the sum of its proper divisors (769952720).

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

542106160 is a wasteful number, since it uses less digits than its factorization.

542106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 542106160 is about 23283.1733232393. The cubic root of 542106160 is about 815.3826148320.

The spelling of 542106160 in words is "five hundred forty-two million, one hundred six thousand, one hundred sixty".