102200116 has 12 divisors (see below), whose sum is σ = 178933860. Its totient is φ = 51076160.

The previous prime is 102200101. The next prime is 102200117. The reversal of 102200116 is 611002201.

It can be written as a sum of positive squares in 2 ways, for example, as 49056016 + 53144100 = 7004^2 + 7290^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102200096 and 102200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6576 + ... + 15736.

It is an arithmetic number, because the mean of its divisors is an integer number (14911155).

Almost surely, 2^102200116 is an apocalyptic number.

It is an amenable number.

102200116 is a deficient number, since it is larger than the sum of its proper divisors (76733744).

102200116 is a wasteful number, since it uses less digits than its factorization.

102200116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11954 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102200116 is about 10109.4073021122. The cubic root of 102200116 is about 467.5382313096.

Adding to 102200116 its reverse (611002201), we get a palindrome (713202317).

The spelling of 102200116 in words is "one hundred two million, two hundred thousand, one hundred sixteen".