105536920 has 64 divisors (see below), whose sum is σ = 242792640. Its totient is φ = 41280000.

The previous prime is 105536909. The next prime is 105536923. The reversal of 105536920 is 29635501.

It is a super-2 number, since 2×105536920² = 22276082966172800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536923) 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 15 ways as a sum of consecutive naturals, for example, 609954 + ... + 610126.

It is an arithmetic number, because the mean of its divisors is an integer number (3793635).

Almost surely, 2^105536920 is an apocalyptic number.

105536920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105536920 is an abundant number, since it is smaller than the sum of its proper divisors (137255720).

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

105536920 is a wasteful number, since it uses less digits than its factorization.

105536920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105536920 is about 10273.1163723575. The cubic root of 105536920 is about 472.5721659414.

The spelling of 105536920 in words is "one hundred five million, five hundred thirty-six thousand, nine hundred twenty".