106410 has 16 divisors (see below), whose sum is σ = 255456. Its totient is φ = 28368.

The previous prime is 106397. The next prime is 106411. The reversal of 106410 is 14601.

It is a super-2 number, since 2×106410² = 22646176200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106411) by changing a digit.

106410 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1744 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (15966).

2¹⁰⁶⁴¹⁰ is an apocalyptic number.

106410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106410 is an abundant number, since it is smaller than the sum of its proper divisors (149046).

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

106410 is a wasteful number, since it uses less digits than its factorization.

106410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 106410 is about 326.2054567293. The cubic root of 106410 is about 47.3871745107.

Subtracting from 106410 its reverse (14601), we obtain a square (91809 = 303²).

The spelling of 106410 in words is "one hundred six thousand, four hundred ten".