106300 has 18 divisors (see below), whose sum is σ = 230888. Its totient is φ = 42480.

The previous prime is 106297. The next prime is 106303. The reversal of 106300 is 3601.

It is an interprime number because it is at equal distance from previous prime (106297) and next prime (106303).

It is a super-2 number, since 2×106300² = 22599380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303) 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, 432 + ... + 631.

2¹⁰⁶³⁰⁰ is an apocalyptic number.

106300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106300 is an abundant number, since it is smaller than the sum of its proper divisors (124588).

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

106300 is a wasteful number, since it uses less digits than its factorization.

106300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 106300 is about 326.0368077380. The cubic root of 106300 is about 47.3708402490.

Adding to 106300 its reverse (3601), we get a palindrome (109901).

It can be divided in two parts, 106 and 300, that added together give a triangular number (406 = T₂₈).

The spelling of 106300 in words is "one hundred six thousand, three hundred".