100250347104 has 144 divisors (see below), whose sum is σ = 286746524064. Its totient is φ = 33222758400.

The previous prime is 100250347091. The next prime is 100250347133. The reversal of 100250347104 is 401743052001.

100250347104 is a `hidden beast` number, since 10 + 0 + 2 + 503 + 47 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 81970237 + ... + 81971459.

It is an arithmetic number, because the mean of its divisors is an integer number (1991295306).

Almost surely, 2^100250347104 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 100250347104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143373262032).

100250347104 is an abundant number, since it is smaller than the sum of its proper divisors (186496176960).

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

100250347104 is a wasteful number, since it uses less digits than its factorization.

100250347104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 100250347104 its reverse (401743052001), we get a palindrome (501993399105).

The spelling of 100250347104 in words is "one hundred billion, two hundred fifty million, three hundred forty-seven thousand, one hundred four".