106352 has 30 divisors (see below), whose sum is σ = 228408. Its totient is φ = 47872.

The previous prime is 106349. The next prime is 106357. The reversal of 106352 is 253601.

It is a super-2 number, since 2×106352² = 22621495808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 106352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4613 + ... + 4635.

2¹⁰⁶³⁵² 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 106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204).

106352 is an abundant number, since it is smaller than the sum of its proper divisors (122056).

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

106352 is a wasteful number, since it uses less digits than its factorization.

106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 106352 is about 326.1165435853. The cubic root of 106352 is about 47.3785633037.

Adding to 106352 its reverse (253601), we get a palindrome (359953).

The spelling of 106352 in words is "one hundred six thousand, three hundred fifty-two".