106620 has 24 divisors (see below), whose sum is σ = 298704. Its totient is φ = 28416.

The previous prime is 106619. The next prime is 106621. The reversal of 106620 is 26601.

106620 = T₁₄₁ + T₁₄₂ + ... + T₁₅₀.

It is an interprime number because it is at equal distance from previous prime (106619) and next prime (106621).

It is a super-2 number, since 2×106620² = 22735648800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106620.

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 106620.

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (12446).

2¹⁰⁶⁶²⁰ is an apocalyptic number.

106620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106620 is an abundant number, since it is smaller than the sum of its proper divisors (192084).

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

106620 is a wasteful number, since it uses less digits than its factorization.

106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106620 is about 326.5271811044. The cubic root of 106620 is about 47.4183268696.

The spelling of 106620 in words is "one hundred six thousand, six hundred twenty".