100331620 has 48 divisors (see below), whose sum is σ = 224123760. Its totient is φ = 37597184.

The previous prime is 100331611. The next prime is 100331639. The reversal of 100331620 is 26133001.

It can be written as a sum of positive squares in 8 ways, for example, as 8631844 + 91699776 = 2938^2 + 9576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100331594 and 100331603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90912 + ... + 92008.

It is an arithmetic number, because the mean of its divisors is an integer number (4669245).

Almost surely, 2^100331620 is an apocalyptic number.

100331620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100331620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112061880).

100331620 is an abundant number, since it is smaller than the sum of its proper divisors (123792140).

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

100331620 is a wasteful number, since it uses less digits than its factorization.

100331620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 100331620 is about 10016.5672762679. The cubic root of 100331620 is about 464.6713984735.

Adding to 100331620 its reverse (26133001), we get a palindrome (126464621).

It can be divided in two parts, 1003 and 31620, that added together give a palindrome (32623).

The spelling of 100331620 in words is "one hundred million, three hundred thirty-one thousand, six hundred twenty".