105609552 has 20 divisors (see below), whose sum is σ = 272824800. Its totient is φ = 35203168.

The previous prime is 105609547. The next prime is 105609557. The reversal of 105609552 is 255906501.

It is an interprime number because it is at equal distance from previous prime (105609547) and next prime (105609557).

It is a super-2 number, since 2×105609552² = 22306754947281408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105609557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100052 + ... + 1100147.

It is an arithmetic number, because the mean of its divisors is an integer number (13641240).

Almost surely, 2^105609552 is an apocalyptic number.

105609552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105609552 is an abundant number, since it is smaller than the sum of its proper divisors (167215248).

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

105609552 is a wasteful number, since it uses less digits than its factorization.

105609552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200210 (or 2200204 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 105609552 is about 10276.6508162922. The cubic root of 105609552 is about 472.6805513624.

The spelling of 105609552 in words is "one hundred five million, six hundred nine thousand, five hundred fifty-two".