102405136 has 40 divisors (see below), whose sum is σ = 209907200. Its totient is φ = 48263040.

The previous prime is 102405133. The next prime is 102405137. The reversal of 102405136 is 631504201.

It is not an unprimeable number, because it can be changed into a prime (102405133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68881 + ... + 70351.

It is an arithmetic number, because the mean of its divisors is an integer number (5247680).

Almost surely, 2^102405136 is an apocalyptic number.

102405136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102405136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104953600).

102405136 is an abundant number, since it is smaller than the sum of its proper divisors (107502064).

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

102405136 is a wasteful number, since it uses less digits than its factorization.

102405136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 102405136 is about 10119.5422821390. The cubic root of 102405136 is about 467.8506597307.

Adding to 102405136 its reverse (631504201), we get a palindrome (733909337).

It can be divided in two parts, 10240 and 5136, that added together give a square (15376 = 124²).

The spelling of 102405136 in words is "one hundred two million, four hundred five thousand, one hundred thirty-six".