107113 has 8 divisors (see below), whose sum is σ = 114048. Its totient is φ = 100464.

The previous prime is 107101. The next prime is 107119. The reversal of 107113 is 311701.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107113 is a prime.

It is a super-2 number, since 2×107113² = 22946389538, which contains 22 as substring.

It is a Duffinian number.

107113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 107093 and 107102.

It is not an unprimeable number, because it can be changed into a prime (107119) 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, 1995 + ... + 2047.

It is an arithmetic number, because the mean of its divisors is an integer number (14256).

2¹⁰⁷¹¹³ is an apocalyptic number.

It is an amenable number.

107113 is a deficient number, since it is larger than the sum of its proper divisors (6935).

107113 is an equidigital number, since it uses as much as digits as its factorization.

107113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 107113 is about 327.2812246372. The cubic root of 107113 is about 47.4913003458.

Adding to 107113 its reverse (311701), we get a palindrome (418814).

The spelling of 107113 in words is "one hundred seven thousand, one hundred thirteen".