106398 has 24 divisors (see below), whose sum is σ = 241488. Its totient is φ = 33792.

The previous prime is 106397. The next prime is 106411. The reversal of 106398 is 893601.

It is a super-2 number, since 2×106398² = 22641068808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

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 106398.

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 11 ways as a sum of consecutive naturals, for example, 286 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (10062).

2¹⁰⁶³⁹⁸ is an apocalyptic number.

106398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120744).

106398 is an abundant number, since it is smaller than the sum of its proper divisors (135090).

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

106398 is a wasteful number, since it uses less digits than its factorization.

106398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106398 is about 326.1870628949. The cubic root of 106398 is about 47.3853931385.

Adding to 106398 its reverse (893601), we get a palindrome (999999).

The spelling of 106398 in words is "one hundred six thousand, three hundred ninety-eight".