42005100100 has 36 divisors (see below), whose sum is σ = 95114162304. Its totient is φ = 16071515680.

The previous prime is 42005100047. The next prime is 42005100101. The reversal of 42005100100 is 100150024.

It is a super-2 number, since 2×42005100100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42005100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9129244 + ... + 9133843.

It is an arithmetic number, because the mean of its divisors is an integer number (2642060064).

Almost surely, 2^42005100100 is an apocalyptic number.

It is an amenable number.

42005100100 is an abundant number, since it is smaller than the sum of its proper divisors (53109062204).

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

42005100100 is a wasteful number, since it uses less digits than its factorization.

42005100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263124 (or 18263117 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 42005100100 its reverse (100150024), we get a palindrome (42105250124).

The spelling of 42005100100 in words is "forty-two billion, five million, one hundred thousand, one hundred".