102131568 has 240 divisors, whose sum is σ = 364595712. Its totient is φ = 25920000.

The previous prime is 102131567. The next prime is 102131609. The reversal of 102131568 is 865131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131567) 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 47 ways as a sum of consecutive naturals, for example, 676293 + ... + 676443.

Almost surely, 2^102131568 is an apocalyptic number.

102131568 is a gapful number since it is divisible by the number (18) 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 102131568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182297856).

102131568 is an abundant number, since it is smaller than the sum of its proper divisors (262464144).

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

102131568 is a wasteful number, since it uses less digits than its factorization.

102131568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102131568 is about 10106.0164258723. The cubic root of 102131568 is about 467.4336783342.

Adding to 102131568 its reverse (865131201), we get a palindrome (967262769).

It can be divided in two parts, 10213 and 1568, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 102131568 in words is "one hundred two million, one hundred thirty-one thousand, five hundred sixty-eight".