102117220 has 24 divisors (see below), whose sum is σ = 218494584. Its totient is φ = 40075776.

The previous prime is 102117209. The next prime is 102117227. The reversal of 102117220 is 22711201.

It can be written as a sum of positive squares in 4 ways, for example, as 13719616 + 88397604 = 3704^2 + 9402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102117194 and 102117203.

It is not an unprimeable number, because it can be changed into a prime (102117227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47109 + ... + 49228.

It is an arithmetic number, because the mean of its divisors is an integer number (9103941).

Almost surely, 2^102117220 is an apocalyptic number.

102117220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102117220 is an abundant number, since it is smaller than the sum of its proper divisors (116377364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102117220 is a wasteful number, since it uses less digits than its factorization.

102117220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96399 (or 96397 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102117220 is about 10105.3065267710. The cubic root of 102117220 is about 467.4117880978.

Adding to 102117220 its reverse (22711201), we get a palindrome (124828421).

The spelling of 102117220 in words is "one hundred two million, one hundred seventeen thousand, two hundred twenty".