100093595008 has 64 divisors (see below), whose sum is σ = 218191170240. Its totient is φ = 45359424000.

The previous prime is 100093594981. The next prime is 100093595009. The reversal of 100093595008 is 800595390001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100093595009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358663 + ... + 573433.

It is an arithmetic number, because the mean of its divisors is an integer number (3409237035).

Almost surely, 2^100093595008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100093595008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109095585120).

100093595008 is an abundant number, since it is smaller than the sum of its proper divisors (118097575232).

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

100093595008 is a wasteful number, since it uses less digits than its factorization.

100093595008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215127 (or 215115 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 40.

The spelling of 100093595008 in words is "one hundred billion, ninety-three million, five hundred ninety-five thousand, eight".