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106553 = 127839
BaseRepresentation
bin11010000000111001
312102011102
4122000321
511402203
62141145
7622436
oct320071
9172142
10106553
1173067
12517b5
1339665
142ab8d
1521888
hex1a039

106553 has 4 divisors (see below), whose sum is σ = 107520. Its totient is φ = 105588.

The previous prime is 106543. The next prime is 106591. The reversal of 106553 is 355601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 355601 = 3111471.

It is a cyclic number.

It is not a de Polignac number, because 106553 - 24 = 106537 is a prime.

It is a super-2 number, since 2×1065532 = 22707083618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2106553 is an apocalyptic number.

It is an amenable number.

106553 is a deficient number, since it is larger than the sum of its proper divisors (967).

106553 is an equidigital number, since it uses as much as digits as its factorization.

106553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966.

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

The square root of 106553 is about 326.4245701537. The cubic root of 106553 is about 47.4083922306.

The spelling of 106553 in words is "one hundred six thousand, five hundred fifty-three".

Divisors: 1 127 839 106553