100420405050 has 288 divisors, whose sum is σ = 304513545600. Its totient is φ = 21448396800.

The previous prime is 100420405003. The next prime is 100420405073. The reversal of 100420405050 is 50504024001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 45212940 + ... + 45215160.

It is an arithmetic number, because the mean of its divisors is an integer number (1057338700).

Almost surely, 2^100420405050 is an apocalyptic number.

100420405050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420405050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152256772800).

100420405050 is an abundant number, since it is smaller than the sum of its proper divisors (204093140550).

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

100420405050 is a wasteful number, since it uses less digits than its factorization.

100420405050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2404 counting only the distinct ones).

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

Adding to 100420405050 its reverse (50504024001), we get a palindrome (150924429051).

The spelling of 100420405050 in words is "one hundred billion, four hundred twenty million, four hundred five thousand, fifty".