105608436 has 48 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 33794176.

The previous prime is 105608431. The next prime is 105608449. The reversal of 105608436 is 634806501.

It is a super-2 number, since 2×105608436² = 22306283508732192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105608397 and 105608406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105608431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28126 + ... + 31658.

It is an arithmetic number, because the mean of its divisors is an integer number (5343408).

Almost surely, 2^105608436 is an apocalyptic number.

It is an amenable number.

105608436 is an abundant number, since it is smaller than the sum of its proper divisors (150875148).

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

105608436 is a wasteful number, since it uses less digits than its factorization.

105608436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105608436 is about 10276.5965183031. The cubic root of 105608436 is about 472.6788863825.

The spelling of 105608436 in words is "one hundred five million, six hundred eight thousand, four hundred thirty-six".