105613560 has 96 divisors (see below), whose sum is σ = 369663840. Its totient is φ = 25996032.

The previous prime is 105613531. The next prime is 105613561. The reversal of 105613560 is 65316501.

It is a happy number.

105613560 is a `hidden beast` number, since 10 + 561 + 35 + 60 = 666.

It is a super-2 number, since 2×105613560² = 22308448111747200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105613561) 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 23 ways as a sum of consecutive naturals, for example, 6604 + ... + 15963.

It is an arithmetic number, because the mean of its divisors is an integer number (3850665).

Almost surely, 2^105613560 is an apocalyptic number.

105613560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105613560 is an abundant number, since it is smaller than the sum of its proper divisors (264050280).

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

105613560 is a wasteful number, since it uses less digits than its factorization.

105613560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22597 (or 22590 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105613560 is about 10276.8458196083. The cubic root of 105613560 is about 472.6865308711.

The spelling of 105613560 in words is "one hundred five million, six hundred thirteen thousand, five hundred sixty".