542213860100 has 144 divisors (see below), whose sum is σ = 1294754630400. Its totient is φ = 195453648000.

The previous prime is 542213860033. The next prime is 542213860103. The reversal of 542213860100 is 1068312245.

It is not an unprimeable number, because it can be changed into a prime (542213860103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210240611 + ... + 210243189.

It is an arithmetic number, because the mean of its divisors is an integer number (8991351600).

Almost surely, 2^542213860100 is an apocalyptic number.

542213860100 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 542213860100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647377315200).

542213860100 is an abundant number, since it is smaller than the sum of its proper divisors (752540770300).

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

542213860100 is a wasteful number, since it uses less digits than its factorization.

542213860100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4187 counting only the distinct ones).

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

The spelling of 542213860100 in words is "five hundred forty-two billion, two hundred thirteen million, eight hundred sixty thousand, one hundred".