105050107355544 has 240 divisors, whose sum is σ = 318974220484920. Its totient is φ = 32286391188480.

The previous prime is 105050107355537. The next prime is 105050107355591. The reversal of 105050107355544 is 445553701050501.

105050107355544 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 50 + 1 + 0 + 7 + 3 + 55 + 544 = 666.

It is a super-4 number, since 4×105050107355544⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105050107355544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95935659 + ... + 97024485.

Almost surely, 2^{105050107355544} 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 105050107355544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159487110242460).

105050107355544 is an abundant number, since it is smaller than the sum of its proper divisors (213924113129376).

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

105050107355544 is a wasteful number, since it uses less digits than its factorization.

105050107355544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089752 (or 1089726 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 105050107355544 in words is "one hundred five trillion, fifty billion, one hundred seven million, three hundred fifty-five thousand, five hundred forty-four".