105551555544 has 480 divisors, whose sum is σ = 328572644400. Its totient is φ = 31622676480.

The previous prime is 105551555537. The next prime is 105551555579. The reversal of 105551555544 is 445555155501.

105551555544 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 51 + 5 + 55 + 544 = 666.

It is a super-2 number, since 2×105551555544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105551555544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453010852 + ... + 453011084.

Almost surely, 2^105551555544 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 105551555544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164286322200).

105551555544 is an abundant number, since it is smaller than the sum of its proper divisors (223021088856).

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

105551555544 is a wasteful number, since it uses less digits than its factorization.

105551555544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1250000, while the sum is 45.

The spelling of 105551555544 in words is "one hundred five billion, five hundred fifty-one million, five hundred fifty-five thousand, five hundred forty-four".