105434550 has 144 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 25470720.

The previous prime is 105434533. The next prime is 105434551. The reversal of 105434550 is 55434501.

105434550 is a `hidden beast` number, since 105 + 4 + 3 + 4 + 550 = 666.

It is a super-2 number, since 2×105434550² = 22232888667405000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105434551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391816 + ... + 392084.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^105434550 is an apocalyptic number.

105434550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105434550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

105434550 is an abundant number, since it is smaller than the sum of its proper divisors (205326810).

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

105434550 is a wasteful number, since it uses less digits than its factorization.

105434550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105434550 is about 10268.1327416430. The cubic root of 105434550 is about 472.4193193897.

The spelling of 105434550 in words is "one hundred five million, four hundred thirty-four thousand, five hundred fifty".