106392 has 64 divisors (see below), whose sum is σ = 322560. Its totient is φ = 28800.

The previous prime is 106391. The next prime is 106397. The reversal of 106392 is 293601.

It is a super-2 number, since 2×106392² = 22638515328, which contains 22 as substring.

It is a zygodrome in base 2.

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 106392.

It is not an unprimeable number, because it can be changed into a prime (106391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3417 + ... + 3447.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2¹⁰⁶³⁹² is an apocalyptic number.

106392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

106392 is an abundant number, since it is smaller than the sum of its proper divisors (216168).

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

106392 is a wasteful number, since it uses less digits than its factorization.

106392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106392 is about 326.1778655887. The cubic root of 106392 is about 47.3845024021.

Adding to 106392 its reverse (293601), we get a palindrome (399993).

The spelling of 106392 in words is "one hundred six thousand, three hundred ninety-two".