106407 has 16 divisors (see below), whose sum is σ = 180480. Its totient is φ = 60696.

The previous prime is 106397. The next prime is 106411. The reversal of 106407 is 704601.

It is not a de Polignac number, because 106407 - 2⁴ = 106391 is a prime.

It is a super-2 number, since 2×106407² = 22644899298, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106407.

It is not an unprimeable number, because it can be changed into a prime (106417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (11280).

2¹⁰⁶⁴⁰⁷ is an apocalyptic number.

106407 is a deficient number, since it is larger than the sum of its proper divisors (74073).

106407 is an equidigital number, since it uses as much as digits as its factorization.

106407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106407 is about 326.2008583680. The cubic root of 106407 is about 47.3867291802.

The spelling of 106407 in words is "one hundred six thousand, four hundred seven".