332806112100 has 576 divisors, whose sum is σ = 1336214476800. Its totient is φ = 69035328000.

The previous prime is 332806112087. The next prime is 332806112183. The reversal of 332806112100 is 1211608233.

It is a happy number.

332806112100 is a `hidden beast` number, since 3 + 3 + 28 + 0 + 611 + 21 + 0 + 0 = 666.

It is a super-2 number, since 2×332806112100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 172348135 + ... + 172350065.

It is an arithmetic number, because the mean of its divisors is an integer number (2319816800).

Almost surely, 2^332806112100 is an apocalyptic number.

332806112100 is a gapful number since it is divisible by the number (30) 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 332806112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668107238400).

332806112100 is an abundant number, since it is smaller than the sum of its proper divisors (1003408364700).

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

332806112100 is a wasteful number, since it uses less digits than its factorization.

332806112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 332806112100 in words is "three hundred thirty-two billion, eight hundred six million, one hundred twelve thousand, one hundred".