100093510000 has 200 divisors, whose sum is σ = 271523072304. Its totient is φ = 35412480000.

The previous prime is 100093509937. The next prime is 100093510019. The reversal of 100093510000 is 15390001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 100093510000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4057704 + ... + 4082296.

Almost surely, 2^100093510000 is an apocalyptic number.

100093510000 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 100093510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135761536152).

100093510000 is an abundant number, since it is smaller than the sum of its proper divisors (171429562304).

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

100093510000 is a wasteful number, since it uses less digits than its factorization.

100093510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24669 (or 24648 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The spelling of 100093510000 in words is "one hundred billion, ninety-three million, five hundred ten thousand".