105653 has 2 divisors, whose sum is σ = 105654. Its totient is φ = 105652.

The previous prime is 105649. The next prime is 105667. The reversal of 105653 is 356501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 47089 = 242^2 + 217^2 .

It is an emirp because it is prime and its reverse (356501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105653 - 2² = 105649 is a prime.

It is a super-2 number, since 2×105653² = 22325112818, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52826 + 52827.

It is an arithmetic number, because the mean of its divisors is an integer number (52827).

2¹⁰⁵⁶⁵³ is an apocalyptic number.

It is an amenable number.

105653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105653 is an equidigital number, since it uses as much as digits as its factorization.

105653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105653 is about 325.0430740687. The cubic root of 105653 is about 47.2745363079.

The spelling of 105653 in words is "one hundred five thousand, six hundred fifty-three".