542587100 has 144 divisors (see below), whose sum is σ = 1352725920. Its totient is φ = 187084800.

The previous prime is 542587093. The next prime is 542587103. The reversal of 542587100 is 1785245.

It is a super-2 number, since 2×542587100² = 588801522172820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542587103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2328584 + ... + 2328816.

It is an arithmetic number, because the mean of its divisors is an integer number (9393930).

Almost surely, 2^542587100 is an apocalyptic number.

542587100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542587100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676362960).

542587100 is an abundant number, since it is smaller than the sum of its proper divisors (810138820).

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

542587100 is a wasteful number, since it uses less digits than its factorization.

542587100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 542587100 is about 23293.4990930946. The cubic root of 542587100 is about 815.6236710635.

The spelling of 542587100 in words is "five hundred forty-two million, five hundred eighty-seven thousand, one hundred".