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106507 = 731459
BaseRepresentation
bin11010000000001011
312102002201
4122000023
511402012
62141031
7622342
oct320013
9172081
10106507
1173025
1251777
133962b
142ab59
1521857
hex1a00b

106507 has 4 divisors (see below), whose sum is σ = 108040. Its totient is φ = 104976.

The previous prime is 106501. The next prime is 106531. The reversal of 106507 is 705601.

106507 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 705601 = 1354277.

It is a 4-Lehmer number, since φ(106507) divides (106507-1)4.

It is a cyclic number.

It is not a de Polignac number, because 106507 - 211 = 104459 is a prime.

It is a super-2 number, since 2×1065072 = 22687482098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (27010).

2106507 is an apocalyptic number.

106507 is a deficient number, since it is larger than the sum of its proper divisors (1533).

106507 is an equidigital number, since it uses as much as digits as its factorization.

106507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 106507 is about 326.3541021651. The cubic root of 106507 is about 47.4015690223.

The spelling of 106507 in words is "one hundred six thousand, five hundred seven".

Divisors: 1 73 1459 106507