542560100 has 72 divisors (see below), whose sum is σ = 1251169920. Its totient is φ = 203512320.

The previous prime is 542560097. The next prime is 542560199. The reversal of 542560100 is 1065245.

It is a super-2 number, since 2×542560100² = 588742924224020000, which contains 22 as substring.

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, 745937 + ... + 746663.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2^542560100 is an apocalyptic number.

542560100 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 542560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

542560100 is an abundant number, since it is smaller than the sum of its proper divisors (708609820).

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

542560100 is a wasteful number, since it uses less digits than its factorization.

542560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 542560100 is about 23292.9195250402. The cubic root of 542560100 is about 815.6101419273.

The spelling of 542560100 in words is "five hundred forty-two million, five hundred sixty thousand, one hundred".