105115653 has 12 divisors (see below), whose sum is σ = 151934380. Its totient is φ = 70030656.

The previous prime is 105115613. The next prime is 105115663. The reversal of 105115653 is 356511501.

105115653 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 5 + 653 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 23357889 = 9042^2 + 4833^2 .

It is not a de Polignac number, because 105115653 - 2¹³ = 105107461 is a prime.

It is a super-2 number, since 2×105115653² = 22098601011232818, 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 (105115613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15633 + ... + 21321.

Almost surely, 2^105115653 is an apocalyptic number.

It is an amenable number.

105115653 is a deficient number, since it is larger than the sum of its proper divisors (46818727).

105115653 is a wasteful number, since it uses less digits than its factorization.

105115653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 105115653 is about 10252.5925014115. The cubic root of 105115653 is about 471.9425457334.

The spelling of 105115653 in words is "one hundred five million, one hundred fifteen thousand, six hundred fifty-three".