106379 has 12 divisors (see below), whose sum is σ = 134064. Its totient is φ = 83664.

The previous prime is 106373. The next prime is 106391. The reversal of 106379 is 973601.

106379 = 32² + 33² + ... + 70².

It is a happy number.

It is not a de Polignac number, because 106379 - 2⁴ = 106363 is a prime.

It is a super-2 number, since 2×106379² = 22632983282, which contains 22 as substring.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (106373) 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 11 ways as a sum of consecutive naturals, for example, 554 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹⁰⁶³⁷⁹ is an apocalyptic number.

106379 is a deficient number, since it is larger than the sum of its proper divisors (27685).

106379 is a wasteful number, since it uses less digits than its factorization.

106379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 106379 is about 326.1579372022. The cubic root of 106379 is about 47.3825723584.

The spelling of 106379 in words is "one hundred six thousand, three hundred seventy-nine".