106815 has 8 divisors (see below), whose sum is σ = 170928. Its totient is φ = 56960.

The previous prime is 106801. The next prime is 106823. The reversal of 106815 is 518601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106815 - 2⁵ = 106783 is a prime.

It is a super-2 number, since 2×106815² = 22818888450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106791 and 106800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3546 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (21366).

2¹⁰⁶⁸¹⁵ is an apocalyptic number.

106815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106815 is a deficient number, since it is larger than the sum of its proper divisors (64113).

106815 is an equidigital number, since it uses as much as digits as its factorization.

106815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 106815 is about 326.8256415889. The cubic root of 106815 is about 47.4472174541.

The spelling of 106815 in words is "one hundred six thousand, eight hundred fifteen".