105605652 has 24 divisors (see below), whose sum is σ = 246699936. Its totient is φ = 35160928.

The previous prime is 105605641. The next prime is 105605653. The reversal of 105605652 is 256506501.

It is a super-3 number, since 3×105605652³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6718 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (10279164).

Almost surely, 2^105605652 is an apocalyptic number.

105605652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105605652 is an abundant number, since it is smaller than the sum of its proper divisors (141094284).

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

105605652 is a wasteful number, since it uses less digits than its factorization.

105605652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10247 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105605652 is about 10276.4610640045. The cubic root of 105605652 is about 472.6747328330.

The spelling of 105605652 in words is "one hundred five million, six hundred five thousand, six hundred fifty-two".