102116126 has 16 divisors (see below), whose sum is σ = 175276896. Its totient is φ = 43708896.

The previous prime is 102116083. The next prime is 102116129. The reversal of 102116126 is 621611201.

It is a junction number, because it is equal to n+sod(n) for n = 102116098 and 102116107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116129) 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, 8120 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (10954806).

Almost surely, 2^102116126 is an apocalyptic number.

102116126 is a deficient number, since it is larger than the sum of its proper divisors (73160770).

102116126 is an equidigital number, since it uses as much as digits as its factorization.

102116126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 102116126 is about 10105.2523966500. The cubic root of 102116126 is about 467.4101189366.

Adding to 102116126 its reverse (621611201), we get a palindrome (723727327).

The spelling of 102116126 in words is "one hundred two million, one hundred sixteen thousand, one hundred twenty-six".