100332305440 has 96 divisors (see below), whose sum is σ = 251087848704. Its totient is φ = 37755678720.

The previous prime is 100332305419. The next prime is 100332305461. The reversal of 100332305440 is 44503233001.

It is an interprime number because it is at equal distance from previous prime (100332305419) and next prime (100332305461).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7519575 + ... + 7532905.

It is an arithmetic number, because the mean of its divisors is an integer number (2615498424).

Almost surely, 2^100332305440 is an apocalyptic number.

100332305440 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 100332305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125543924352).

100332305440 is an abundant number, since it is smaller than the sum of its proper divisors (150755543264).

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

100332305440 is a wasteful number, since it uses less digits than its factorization.

100332305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 100332305440 its reverse (44503233001), we get a palindrome (144835538441).

The spelling of 100332305440 in words is "one hundred billion, three hundred thirty-two million, three hundred five thousand, four hundred forty".