106830 has 24 divisors (see below), whose sum is σ = 277992. Its totient is φ = 28464.

The previous prime is 106823. The next prime is 106853. The reversal of 106830 is 38601.

It is a super-2 number, since 2×106830² = 22825297800, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (11583).

2¹⁰⁶⁸³⁰ is an apocalyptic number.

106830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106830 is an abundant number, since it is smaller than the sum of its proper divisors (171162).

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

106830 is a wasteful number, since it uses less digits than its factorization.

106830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106830 is about 326.8485887992. The cubic root of 106830 is about 47.4494383499.

The spelling of 106830 in words is "one hundred six thousand, eight hundred thirty".