100509696000 has 1440 divisors, whose sum is σ = 446553918720. Its totient is φ = 21233664000.

The previous prime is 100509695999. The next prime is 100509696061. The reversal of 100509696000 is 696905001.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2451455980 + ... + 2451456020.

It is an arithmetic number, because the mean of its divisors is an integer number (310106888).

Almost surely, 2^100509696000 is an apocalyptic number.

100509696000 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 100509696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223276959360).

100509696000 is an abundant number, since it is smaller than the sum of its proper divisors (346044222720).

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

100509696000 is an equidigital number, since it uses as much as digits as its factorization.

100509696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 100509696000 in words is "one hundred billion, five hundred nine million, six hundred ninety-six thousand".