102116641 has 4 divisors (see below), whose sum is σ = 111399984. Its totient is φ = 92833300.

The previous prime is 102116629. The next prime is 102116647. The reversal of 102116641 is 146611201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102116641 - 2⁷ = 102116513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102116647) 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 3 ways as a sum of consecutive naturals, for example, 4641655 + ... + 4641676.

It is an arithmetic number, because the mean of its divisors is an integer number (27849996).

Almost surely, 2^102116641 is an apocalyptic number.

102116641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102116641 is a deficient number, since it is larger than the sum of its proper divisors (9283343).

102116641 is an equidigital number, since it uses as much as digits as its factorization.

102116641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283342.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102116641 is about 10105.2778784158. The cubic root of 102116641 is about 467.4109046949.

Adding to 102116641 its reverse (146611201), we get a palindrome (248727842).

The spelling of 102116641 in words is "one hundred two million, one hundred sixteen thousand, six hundred forty-one".