106810 has 16 divisors (see below), whose sum is σ = 209952. Its totient is φ = 38800.

The previous prime is 106801. The next prime is 106823. The reversal of 106810 is 18601.

It is a super-2 number, since 2×106810² = 22816752200, which contains 22 as substring.

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, 376 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (13122).

2¹⁰⁶⁸¹⁰ is an apocalyptic number.

106810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106810 is a deficient number, since it is larger than the sum of its proper divisors (103142).

106810 is a wasteful number, since it uses less digits than its factorization.

106810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 106810 is about 326.8179921608. The cubic root of 106810 is about 47.4464771093.

Subtracting from 106810 its reverse (18601), we obtain a square (88209 = 297²).

The spelling of 106810 in words is "one hundred six thousand, eight hundred ten".