102810240 has 192 divisors, whose sum is σ = 382604040. Its totient is φ = 25288704.

The previous prime is 102810233. The next prime is 102810251. The reversal of 102810240 is 42018201.

It can be written as a sum of positive squares in 4 ways, for example, as 92621376 + 10188864 = 9624^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74194 + ... + 75566.

Almost surely, 2^102810240 is an apocalyptic number.

102810240 is a gapful number since it is divisible by the number (10) 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 102810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191302020).

102810240 is an abundant number, since it is smaller than the sum of its proper divisors (279793800).

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

102810240 is a wasteful number, since it uses less digits than its factorization.

102810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102810240 is about 10139.5384510341. The cubic root of 102810240 is about 468.4667707677.

Adding to 102810240 its reverse (42018201), we get a palindrome (144828441).

The spelling of 102810240 in words is "one hundred two million, eight hundred ten thousand, two hundred forty".