106414113 has 8 divisors (see below), whose sum is σ = 152799808. Its totient is φ = 65485584.

The previous prime is 106414097. The next prime is 106414151. The reversal of 106414113 is 311414601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106414113 - 2⁴ = 106414097 is a prime.

It is a super-2 number, since 2×106414113² = 22647926891153538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106414113.

It is not an unprimeable number, because it can be changed into a prime (106414213) by changing a digit.

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, 1364245 + ... + 1364322.

It is an arithmetic number, because the mean of its divisors is an integer number (19099976).

Almost surely, 2^106414113 is an apocalyptic number.

106414113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106414113 is a deficient number, since it is larger than the sum of its proper divisors (46385695).

106414113 is a wasteful number, since it uses less digits than its factorization.

106414113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728583.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106414113 is about 10315.7216422313. The cubic root of 106414113 is about 473.8778504526.

Adding to 106414113 its reverse (311414601), we get a palindrome (417828714).

The spelling of 106414113 in words is "one hundred six million, four hundred fourteen thousand, one hundred thirteen".