416106 has 12 divisors (see below), whose sum is σ = 901602. Its totient is φ = 138696.

The previous prime is 416089. The next prime is 416107. The reversal of 416106 is 601614.

It can be written as a sum of positive squares in only one way, i.e., 416025 + 81 = 645^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 23117 = 416106 / (4 + 1 + 6 + 1 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (416107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11541 + ... + 11576.

2⁴¹⁶¹⁰⁶ is an apocalyptic number.

416106 is an abundant number, since it is smaller than the sum of its proper divisors (485496).

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

416106 is a wasteful number, since it uses less digits than its factorization.

416106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 416106 is about 645.0627876416. The cubic root of 416106 is about 74.6565630816.

It can be divided in two parts, 41610 and 6, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 416106 in words is "four hundred sixteen thousand, one hundred six".