106414 has 16 divisors (see below), whose sum is σ = 199296. Its totient is φ = 41400.

The previous prime is 106411. The next prime is 106417. The reversal of 106414 is 414601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106411) and next prime (106417).

It is a super-2 number, since 2×106414² = 22647878792, which contains 22 as substring.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (12456).

2¹⁰⁶⁴¹⁴ is an apocalyptic number.

106414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106414 is a deficient number, since it is larger than the sum of its proper divisors (92882).

106414 is a wasteful number, since it uses less digits than its factorization.

106414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106414 is about 326.2115877770. The cubic root of 106414 is about 47.3877682717.

The spelling of 106414 in words is "one hundred six thousand, four hundred fourteen".