100545001344 has 192 divisors, whose sum is σ = 308416992000. Its totient is φ = 31348601856.

The previous prime is 100545001313. The next prime is 100545001351. The reversal of 100545001344 is 443100545001.

It is a happy number.

100545001344 is a `hidden beast` number, since 100 + 5 + 4 + 500 + 13 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1700079 + ... + 1758225.

It is an arithmetic number, because the mean of its divisors is an integer number (1606338500).

Almost surely, 2^100545001344 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 100545001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154208496000).

100545001344 is an abundant number, since it is smaller than the sum of its proper divisors (207871990656).

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

100545001344 is a wasteful number, since it uses less digits than its factorization.

100545001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58265 (or 58250 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 100545001344 its reverse (443100545001), we get a palindrome (543645546345).

The spelling of 100545001344 in words is "one hundred billion, five hundred forty-five million, one thousand, three hundred forty-four".