106002 has 32 divisors (see below), whose sum is σ = 255360. Its totient is φ = 32400.

The previous prime is 105997. The next prime is 106013. The reversal of 106002 is 200601.

It is a super-2 number, since 2×106002² = 22472848008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

106002 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 15 ways as a sum of consecutive naturals, for example, 627 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹⁰⁶⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

106002 is an abundant number, since it is smaller than the sum of its proper divisors (149358).

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

106002 is a wasteful number, since it uses less digits than its factorization.

106002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 106002 is about 325.5794833831. The cubic root of 106002 is about 47.3265325590.

Adding to 106002 its reverse (200601), we get a palindrome (306603).

The spelling of 106002 in words is "one hundred six thousand, two".