106417314 has 60 divisors (see below), whose sum is σ = 253416834. Its totient is φ = 33371136.

The previous prime is 106417279. The next prime is 106417319. The reversal of 106417314 is 413714601.

It is a happy number.

106417314 is a `hidden beast` number, since 1 + 0 + 641 + 7 + 3 + 14 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104714289 + 1703025 = 10233^2 + 1305^2 .

It is a super-2 number, since 2×106417314² = 22649289437949192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106417319) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 45682 + ... + 47954.

Almost surely, 2^106417314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106417314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126708417).

106417314 is an abundant number, since it is smaller than the sum of its proper divisors (146999520).

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

106417314 is a wasteful number, since it uses less digits than its factorization.

106417314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106417314 is about 10315.8767925950. The cubic root of 106417314 is about 473.8826019144.

It can be divided in two parts, 10641 and 7314, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 106417314 in words is "one hundred six million, four hundred seventeen thousand, three hundred fourteen".