106353 has 20 divisors (see below), whose sum is σ = 172788. Its totient is φ = 64800.

The previous prime is 106349. The next prime is 106357. The reversal of 106353 is 353601.

It is an interprime number because it is at equal distance from previous prime (106349) and next prime (106357).

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 42849 = 252^2 + 207^2 .

It is not a de Polignac number, because 106353 - 2² = 106349 is a prime.

It is a super-2 number, since 2×106353² = 22621921218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106357) 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 19 ways as a sum of consecutive naturals, for example, 1003 + ... + 1103.

2¹⁰⁶³⁵³ is an apocalyptic number.

106353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106353 is a deficient number, since it is larger than the sum of its proper divisors (66435).

106353 is a wasteful number, since it uses less digits than its factorization.

106353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106353 is about 326.1180767759. The cubic root of 106353 is about 47.3787117993.

Adding to 106353 its reverse (353601), we get a palindrome (459954).

The spelling of 106353 in words is "one hundred six thousand, three hundred fifty-three".