105118013 has 32 divisors (see below), whose sum is σ = 148592640. Its totient is φ = 71616960.

The previous prime is 105118007. The next prime is 105118019. The reversal of 105118013 is 310811501.

It is an interprime number because it is at equal distance from previous prime (105118007) and next prime (105118019).

It is a cyclic number.

It is not a de Polignac number, because 105118013 - 2¹² = 105113917 is a prime.

It is a super-2 number, since 2×105118013² = 22099593314136338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105118019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16256 + ... + 21782.

It is an arithmetic number, because the mean of its divisors is an integer number (4643520).

Almost surely, 2^105118013 is an apocalyptic number.

105118013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105118013 is a deficient number, since it is larger than the sum of its proper divisors (43474627).

105118013 is a wasteful number, since it uses less digits than its factorization.

105118013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 105118013 is about 10252.7075936067. The cubic root of 105118013 is about 471.9460776402.

Adding to 105118013 its reverse (310811501), we get a palindrome (415929514).

The spelling of 105118013 in words is "one hundred five million, one hundred eighteen thousand, thirteen".