106452 has 18 divisors (see below), whose sum is σ = 269178. Its totient is φ = 35472.

The previous prime is 106451. The next prime is 106453. The reversal of 106452 is 254601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106451) and next prime (106453).

It can be written as a sum of positive squares in only one way, i.e., 76176 + 30276 = 276^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×106452² = 22664056608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106451) 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 5 ways as a sum of consecutive naturals, for example, 1443 + ... + 1514.

2¹⁰⁶⁴⁵² is an apocalyptic number.

106452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106452 is an abundant number, since it is smaller than the sum of its proper divisors (162726).

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

106452 is a wasteful number, since it uses less digits than its factorization.

106452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106452 is about 326.2698269837. The cubic root of 106452 is about 47.3934082592.

The spelling of 106452 in words is "one hundred six thousand, four hundred fifty-two".