105036653 has 12 divisors (see below), whose sum is σ = 110509308. Its totient is φ = 99823680.

The previous prime is 105036641. The next prime is 105036661. The reversal of 105036653 is 356630501.

It can be written as a sum of positive squares in 2 ways, for example, as 11276164 + 93760489 = 3358^2 + 9683^2 .

It is not a de Polignac number, because 105036653 - 2¹⁴ = 105020269 is a prime.

It is a super-2 number, since 2×105036653² = 22065396946884818, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95201 + ... + 96297.

It is an arithmetic number, because the mean of its divisors is an integer number (9209109).

Almost surely, 2^105036653 is an apocalyptic number.

It is an amenable number.

105036653 is a deficient number, since it is larger than the sum of its proper divisors (5472655).

105036653 is a wasteful number, since it uses less digits than its factorization.

105036653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 105036653 is about 10248.7390931763. The cubic root of 105036653 is about 471.8242861335.

The spelling of 105036653 in words is "one hundred five million, thirty-six thousand, six hundred fifty-three".