100331044020 has 72 divisors (see below), whose sum is σ = 307475053704. Its totient is φ = 26479116288.

The previous prime is 100331044003. The next prime is 100331044039. The reversal of 100331044020 is 20440133001.

It can be written as a sum of positive squares in 4 ways, for example, as 15027327396 + 85303716624 = 122586^2 + 292068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100331043984 and 100331044002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2855709 + ... + 2890628.

It is an arithmetic number, because the mean of its divisors is an integer number (4270486857).

Almost surely, 2^100331044020 is an apocalyptic number.

100331044020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331044020 is an abundant number, since it is smaller than the sum of its proper divisors (207144009684).

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

100331044020 is a wasteful number, since it uses less digits than its factorization.

100331044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746449 (or 5746444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100331044020 its reverse (20440133001), we get a palindrome (120771177021).

The spelling of 100331044020 in words is "one hundred billion, three hundred thirty-one million, forty-four thousand, twenty".