106652 has 24 divisors (see below), whose sum is σ = 230496. Its totient is φ = 42048.

The previous prime is 106649. The next prime is 106657. The reversal of 106652 is 256601.

It is a super-2 number, since 2×106652² = 22749298208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657) 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 7 ways as a sum of consecutive naturals, for example, 218 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (9604).

2¹⁰⁶⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115248).

106652 is an abundant number, since it is smaller than the sum of its proper divisors (123844).

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

106652 is a wasteful number, since it uses less digits than its factorization.

106652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106652 is about 326.5761779432. The cubic root of 106652 is about 47.4230703032.

The spelling of 106652 in words is "one hundred six thousand, six hundred fifty-two".