542866100 has 216 divisors, whose sum is σ = 1531776960. Its totient is φ = 165957120.

The previous prime is 542866097. The next prime is 542866123. The reversal of 542866100 is 1668245.

542866100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28571891 + ... + 28571909.

It is an arithmetic number, because the mean of its divisors is an integer number (7091560).

Almost surely, 2^542866100 is an apocalyptic number.

542866100 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 542866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765888480).

542866100 is an abundant number, since it is smaller than the sum of its proper divisors (988910860).

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

542866100 is a wasteful number, since it uses less digits than its factorization.

542866100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 542866100 is about 23299.4871188187. The cubic root of 542866100 is about 815.7634458644.

The spelling of 542866100 in words is "five hundred forty-two million, eight hundred sixty-six thousand, one hundred".