106930 has 24 divisors (see below), whose sum is σ = 209988. Its totient is φ = 39168.

The previous prime is 106921. The next prime is 106937. The reversal of 106930 is 39601.

106930 = 9² + 10² + ... + 68².

It is a Cunningham number, because it is equal to 327²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 95481 + 11449 = 309^2 + 107^2 .

It is a super-2 number, since 2×106930² = 22868049800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106898 and 106907.

It is not an unprimeable number, because it can be changed into a prime (106937) by changing a digit.

106930 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 11 ways as a sum of consecutive naturals, for example, 2872 + ... + 2908.

2¹⁰⁶⁹³⁰ is an apocalyptic number.

106930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106930 is a deficient number, since it is larger than the sum of its proper divisors (103058).

106930 is a wasteful number, since it uses less digits than its factorization.

106930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 106930 is about 327.0015290484. The cubic root of 106930 is about 47.4642390116.

The spelling of 106930 in words is "one hundred six thousand, nine hundred thirty".