405542000100 has 144 divisors (see below), whose sum is σ = 1214567262720. Its totient is φ = 104351923200.

The previous prime is 405542000077. The next prime is 405542000117. The reversal of 405542000100 is 1000245504.

It is an unprimeable number.

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, 15237805 + ... + 15264395.

It is an arithmetic number, because the mean of its divisors is an integer number (8434494880).

Almost surely, 2^405542000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405542000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607283631360).

405542000100 is an abundant number, since it is smaller than the sum of its proper divisors (809025262620).

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

405542000100 is a wasteful number, since it uses less digits than its factorization.

405542000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28390 (or 28383 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 405542000100 its reverse (1000245504), we get a palindrome (406542245604).

The spelling of 405542000100 in words is "four hundred five billion, five hundred forty-two million, one hundred", and thus it is an aban number.