106586123 has 12 divisors (see below), whose sum is σ = 125738352. Its totient is φ = 90069840.

The previous prime is 106586119. The next prime is 106586131. The reversal of 106586123 is 321685601.

It is a happy number.

It is not a de Polignac number, because 106586123 - 2² = 106586119 is a prime.

It is a super-2 number, since 2×106586123² = 22721203232342258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106586123.

It is not an unprimeable number, because it can be changed into a prime (106586323) 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, 11840 + ... + 18797.

It is an arithmetic number, because the mean of its divisors is an integer number (10478196).

Almost surely, 2^106586123 is an apocalyptic number.

106586123 is a deficient number, since it is larger than the sum of its proper divisors (19152229).

106586123 is an equidigital number, since it uses as much as digits as its factorization.

106586123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30722 (or 30715 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 106586123 is about 10324.0555500249. The cubic root of 106586123 is about 474.1330416958.

The spelling of 106586123 in words is "one hundred six million, five hundred eighty-six thousand, one hundred twenty-three".