105745536 has 192 divisors, whose sum is σ = 343062720. Its totient is φ = 31021056.

The previous prime is 105745531. The next prime is 105745543. The reversal of 105745536 is 635547501.

105745536 is a `hidden beast` number, since 1 + 0 + 574 + 55 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105745536² = 22364236767854592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105745536.

It is not an unprimeable number, because it can be changed into a prime (105745531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344295 + ... + 344601.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^105745536 is an apocalyptic number.

105745536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531360).

105745536 is an abundant number, since it is smaller than the sum of its proper divisors (237317184).

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

105745536 is a wasteful number, since it uses less digits than its factorization.

105745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 105745536 is about 10283.2648512036. The cubic root of 105745536 is about 472.8833405442.

It can be divided in two parts, 10574 and 5536, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 105745536 in words is "one hundred five million, seven hundred forty-five thousand, five hundred thirty-six".