105500653 has 8 divisors (see below), whose sum is σ = 108489848. Its totient is φ = 102518784.

The previous prime is 105500651. The next prime is 105500663. The reversal of 105500653 is 356005501.

It can be written as a sum of positive squares in 4 ways, for example, as 65076489 + 40424164 = 8067^2 + 6358^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105500653 - 2¹ = 105500651 is a prime.

It is a super-2 number, since 2×105500653² = 22260775566852818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41425 + ... + 43897.

It is an arithmetic number, because the mean of its divisors is an integer number (13561231).

Almost surely, 2^105500653 is an apocalyptic number.

It is an amenable number.

105500653 is a deficient number, since it is larger than the sum of its proper divisors (2989195).

105500653 is a wasteful number, since it uses less digits than its factorization.

105500653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105500653 is about 10271.3510795805. The cubic root of 105500653 is about 472.5180277362.

The spelling of 105500653 in words is "one hundred five million, five hundred thousand, six hundred fifty-three".