2093834507100 has 288 divisors, whose sum is σ = 7269273070080. Its totient is φ = 455189898240.

The previous prime is 2093834507069. The next prime is 2093834507147. The reversal of 2093834507100 is 17054383902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3823722 + ... + 4336878.

Almost surely, 2^{2093834507100} is an apocalyptic number.

2093834507100 is a gapful number since it is divisible by the number (20) 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 2093834507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634636535040).

2093834507100 is an abundant number, since it is smaller than the sum of its proper divisors (5175438562980).

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

2093834507100 is a wasteful number, since it uses less digits than its factorization.

2093834507100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513277 (or 513270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 2093834507100 in words is "two trillion, ninety-three billion, eight hundred thirty-four million, five hundred seven thousand, one hundred".