102117113 has 8 divisors (see below), whose sum is σ = 123570432. Its totient is φ = 82380096.

The previous prime is 102117097. The next prime is 102117121. The reversal of 102117113 is 311711201.

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

It is not a de Polignac number, because 102117113 - 2⁴ = 102117097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102117091 and 102117100.

It is not an unprimeable number, because it can be changed into a prime (102117163) 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, 428945 + ... + 429182.

It is an arithmetic number, because the mean of its divisors is an integer number (15446304).

Almost surely, 2^102117113 is an apocalyptic number.

It is an amenable number.

102117113 is a deficient number, since it is larger than the sum of its proper divisors (21453319).

102117113 is an equidigital number, since it uses as much as digits as its factorization.

102117113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858151.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 102117113 is about 10105.3012325215. The cubic root of 102117113 is about 467.4116248440.

Adding to 102117113 its reverse (311711201), we get a palindrome (413828314).

The spelling of 102117113 in words is "one hundred two million, one hundred seventeen thousand, one hundred thirteen".