100420333344 has 144 divisors (see below), whose sum is σ = 303938113752. Its totient is φ = 31340888064.

The previous prime is 100420333313. The next prime is 100420333411. The reversal of 100420333344 is 443333024001.

It can be written as a sum of positive squares in 4 ways, for example, as 52538140944 + 47882192400 = 229212^2 + 218820^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891792 + ... + 998064.

Almost surely, 2^100420333344 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 100420333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151969056876).

100420333344 is an abundant number, since it is smaller than the sum of its proper divisors (203517780408).

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

100420333344 is a wasteful number, since it uses less digits than its factorization.

100420333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106499 (or 106488 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 100420333344 its reverse (443333024001), we get a palindrome (543753357345).

The spelling of 100420333344 in words is "one hundred billion, four hundred twenty million, three hundred thirty-three thousand, three hundred forty-four".