100071936000 has 1040 divisors, whose sum is σ = 395810088960. Its totient is φ = 25082265600.

The previous prime is 100071935989. The next prime is 100071936137. The reversal of 100071936000 is 639170001.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787967937 + ... + 787968063.

It is an arithmetic number, because the mean of its divisors is an integer number (380586624).

Almost surely, 2^100071936000 is an apocalyptic number.

100071936000 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 100071936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197905044480).

100071936000 is an abundant number, since it is smaller than the sum of its proper divisors (295738152960).

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

100071936000 is an equidigital number, since it uses as much as digits as its factorization.

100071936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 100071936000 in words is "one hundred billion, seventy-one million, nine hundred thirty-six thousand".