105636960 has 576 divisors, whose sum is σ = 462309120. Its totient is φ = 22394880.

The previous prime is 105636919. The next prime is 105636967. The reversal of 105636960 is 69636501.

105636960 is a `hidden beast` number, since 1 + 0 + 563 + 6 + 96 + 0 = 666.

It is a super-3 number, since 3×105636960³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105636967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559831 + ... + 5559849.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^105636960 is an apocalyptic number.

105636960 is a gapful number since it is divisible by the number (10) 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 105636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

105636960 is an abundant number, since it is smaller than the sum of its proper divisors (356672160).

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

105636960 is a wasteful number, since it uses less digits than its factorization.

105636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 105636960 is about 10277.9842381665. The cubic root of 105636960 is about 472.7214381564.

The spelling of 105636960 in words is "one hundred five million, six hundred thirty-six thousand, nine hundred sixty".