105506052 has 24 divisors (see below), whose sum is σ = 246888096. Its totient is φ = 35067648.

The previous prime is 105506021. The next prime is 105506053. The reversal of 105506052 is 250605501.

It is a super-3 number, since 3×105506052³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105506053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8218 + ... + 16689.

It is an arithmetic number, because the mean of its divisors is an integer number (10287004).

Almost surely, 2^105506052 is an apocalyptic number.

105506052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105506052 is an abundant number, since it is smaller than the sum of its proper divisors (141382044).

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

105506052 is a wasteful number, since it uses less digits than its factorization.

105506052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25267 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105506052 is about 10271.6138946127. The cubic root of 105506052 is about 472.5260879748.

The spelling of 105506052 in words is "one hundred five million, five hundred six thousand, fifty-two".