105634536 has 64 divisors (see below), whose sum is σ = 304250880. Its totient is φ = 29937600.

The previous prime is 105634513. The next prime is 105634537. The reversal of 105634536 is 635436501.

It is a super-2 number, since 2×105634536² = 22317310391870592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105634497 and 105634506.

It is not an unprimeable number, because it can be changed into a prime (105634537) 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, 18861 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (4753920).

Almost surely, 2^105634536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105634536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152125440).

105634536 is an abundant number, since it is smaller than the sum of its proper divisors (198616344).

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

105634536 is a wasteful number, since it uses less digits than its factorization.

105634536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 105634536 is about 10277.8663155346. The cubic root of 105634536 is about 472.7178223590.

The spelling of 105634536 in words is "one hundred five million, six hundred thirty-four thousand, five hundred thirty-six".