106916113 has 4 divisors (see below), whose sum is σ = 107062708. Its totient is φ = 106769520.

The previous prime is 106916107. The next prime is 106916119. The reversal of 106916113 is 311619601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311619601 = 2129 ⋅146369.

It is an interprime number because it is at equal distance from previous prime (106916107) and next prime (106916119).

It can be written as a sum of positive squares in 2 ways, for example, as 67125249 + 39790864 = 8193^2 + 6308^2 .

It is a cyclic number.

It is not a de Polignac number, because 106916113 - 2⁵ = 106916081 is a prime.

It is a super-2 number, since 2×106916113² = 22862110438057538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106916119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72198 + ... + 73663.

It is an arithmetic number, because the mean of its divisors is an integer number (26765677).

Almost surely, 2^106916113 is an apocalyptic number.

It is an amenable number.

106916113 is a deficient number, since it is larger than the sum of its proper divisors (146595).

106916113 is an equidigital number, since it uses as much as digits as its factorization.

106916113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146594.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 106916113 is about 10340.0248065466. The cubic root of 106916113 is about 474.6218419562.

The spelling of 106916113 in words is "one hundred six million, nine hundred sixteen thousand, one hundred thirteen".