100332354672 has 640 divisors, whose sum is σ = 348084864000. Its totient is φ = 27311800320.

The previous prime is 100332354667. The next prime is 100332354691. The reversal of 100332354672 is 276453233001.

100332354672 is a `hidden beast` number, since 10 + 0 + 3 + 32 + 3 + 546 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264728979 + ... + 264729357.

It is an arithmetic number, because the mean of its divisors is an integer number (543882600).

Almost surely, 2^100332354672 is an apocalyptic number.

100332354672 is a gapful number since it is divisible by the number (12) 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 100332354672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174042432000).

100332354672 is an abundant number, since it is smaller than the sum of its proper divisors (247752509328).

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

100332354672 is a wasteful number, since it uses less digits than its factorization.

100332354672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 100332354672 its reverse (276453233001), we get a palindrome (376785587673).

The spelling of 100332354672 in words is "one hundred billion, three hundred thirty-two million, three hundred fifty-four thousand, six hundred seventy-two".