100371343744 has 128 divisors (see below), whose sum is σ = 234542880000. Its totient is φ = 41896839168.

The previous prime is 100371343733. The next prime is 100371343753. The reversal of 100371343744 is 447343173001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5753467 + ... + 5770885.

It is an arithmetic number, because the mean of its divisors is an integer number (1832366250).

Almost surely, 2^100371343744 is an apocalyptic number.

100371343744 is a gapful number since it is divisible by the number (14) 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 100371343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117271440000).

100371343744 is an abundant number, since it is smaller than the sum of its proper divisors (134171536256).

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

100371343744 is a wasteful number, since it uses less digits than its factorization.

100371343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17608 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 100371343744 in words is "one hundred billion, three hundred seventy-one million, three hundred forty-three thousand, seven hundred forty-four".