102405688 has 144 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 37255680.

The previous prime is 102405629. The next prime is 102405701. The reversal of 102405688 is 886504201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806281 + ... + 806407.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^102405688 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 102405688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

102405688 is an abundant number, since it is smaller than the sum of its proper divisors (159593672).

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

102405688 is a wasteful number, since it uses less digits than its factorization.

102405688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 102405688 is about 10119.5695560631. The cubic root of 102405688 is about 467.8515003562.

Adding to 102405688 its reverse (886504201), we get a palindrome (988909889).

It can be divided in two parts, 1024056 and 88, that added together give a square (1024144 = 1012²).

The spelling of 102405688 in words is "one hundred two million, four hundred five thousand, six hundred eighty-eight".