108133002432 has 672 divisors, whose sum is σ = 401086929600. Its totient is φ = 28315090944.

The previous prime is 108133002379. The next prime is 108133002451. The reversal of 108133002432 is 234200331801.

108133002432 is a `hidden beast` number, since 10 + 81 + 330 + 0 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 108133002396 and 108133002405.

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 95 ways as a sum of consecutive naturals, for example, 212441794 + ... + 212442302.

It is an arithmetic number, because the mean of its divisors is an integer number (596855550).

Almost surely, 2^108133002432 is an apocalyptic number.

108133002432 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 108133002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200543464800).

108133002432 is an abundant number, since it is smaller than the sum of its proper divisors (292953927168).

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

108133002432 is a wasteful number, since it uses less digits than its factorization.

108133002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 108133002432 in words is "one hundred eight billion, one hundred thirty-three million, two thousand, four hundred thirty-two".