106590 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 23040.

The previous prime is 106543. The next prime is 106591. The reversal of 106590 is 95601.

106590 = 144² + 145² + ... + 148².

106590 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×106590² = 22722856200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106590.

It is not an unprimeable number, because it can be changed into a prime (106591) by changing a digit.

106590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5601 + ... + 5619.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2¹⁰⁶⁵⁹⁰ is an apocalyptic number.

106590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

106590 is an abundant number, since it is smaller than the sum of its proper divisors (204450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106590 is a wasteful number, since it uses less digits than its factorization.

106590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 106590 is about 326.4812398898. The cubic root of 106590 is about 47.4138790385.

It can be divided in two parts, 106 and 590, that added together give a palindrome (696).

The spelling of 106590 in words is "one hundred six thousand, five hundred ninety".