105005010050550 has 36 divisors (see below), whose sum is σ = 282113460337020. Its totient is φ = 28001336013360.

The previous prime is 105005010050543. The next prime is 105005010050561. The reversal of 105005010050550 is 55050010500501.

105005010050550 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 5 + 0 + 100 + 5 + 0 + 550 = 666.

It is a super-2 number, since 2×105005010050550² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116672232940 + ... + 116672233839.

Almost surely, 2^{105005010050550} is an apocalyptic number.

105005010050550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005010050550 is an abundant number, since it is smaller than the sum of its proper divisors (177108450286470).

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

105005010050550 is a wasteful number, since it uses less digits than its factorization.

105005010050550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233344466797 (or 233344466789 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 105005010050550 in words is "one hundred five trillion, five billion, ten million, fifty thousand, five hundred fifty".