102127104 has 120 divisors (see below), whose sum is σ = 303217200. Its totient is φ = 33067008.

The previous prime is 102127097. The next prime is 102127139. The reversal of 102127104 is 401721201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170197 + ... + 170795.

It is an arithmetic number, because the mean of its divisors is an integer number (2526810).

Almost surely, 2^102127104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608600).

102127104 is an abundant number, since it is smaller than the sum of its proper divisors (201090096).

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

102127104 is an equidigital number, since it uses as much as digits as its factorization.

102127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102127104 is about 10105.7955649221. The cubic root of 102127104 is about 467.4268679869.

Adding to 102127104 its reverse (401721201), we get a palindrome (503848305).

The spelling of 102127104 in words is "one hundred two million, one hundred twenty-seven thousand, one hundred four".