100132856208 has 640 divisors, whose sum is σ = 366405120000. Its totient is φ = 25431183360.

The previous prime is 100132856179. The next prime is 100132856227. The reversal of 100132856208 is 802658231001.

It is a happy number.

100132856208 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 28 + 5 + 620 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441113791 + ... + 441114017.

It is an arithmetic number, because the mean of its divisors is an integer number (572508000).

Almost surely, 2^100132856208 is an apocalyptic number.

100132856208 is a gapful number since it is divisible by the number (18) 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 100132856208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560000).

100132856208 is an abundant number, since it is smaller than the sum of its proper divisors (266272263792).

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

100132856208 is a wasteful number, since it uses less digits than its factorization.

100132856208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 100132856208 in words is "one hundred billion, one hundred thirty-two million, eight hundred fifty-six thousand, two hundred eight".