105605101060550 has 48 divisors (see below), whose sum is σ = 241754446745952. Its totient is φ = 33422273740800.

The previous prime is 105605101060523. The next prime is 105605101060663. The reversal of 105605101060550 is 55060101506501.

It is a super-2 number, since 2×105605101060550² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105605101060550.

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, 11604951611 + ... + 11604960710.

It is an arithmetic number, because the mean of its divisors is an integer number (5036550973874).

Almost surely, 2^{105605101060550} is an apocalyptic number.

105605101060550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605101060550 is an abundant number, since it is smaller than the sum of its proper divisors (136149345685402).

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

105605101060550 is a wasteful number, since it uses less digits than its factorization.

105605101060550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23209912353 (or 23209912348 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105605101060550 in words is "one hundred five trillion, six hundred five billion, one hundred one million, sixty thousand, five hundred fifty".