102115728 has 400 divisors, whose sum is σ = 378100800. Its totient is φ = 26127360.

The previous prime is 102115703. The next prime is 102115733. The reversal of 102115728 is 827511201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3521218 + ... + 3521246.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^102115728 is an apocalyptic number.

102115728 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 102115728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

102115728 is an abundant number, since it is smaller than the sum of its proper divisors (275985072).

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

102115728 is a wasteful number, since it uses less digits than its factorization.

102115728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 102115728 is about 10105.2327039015. The cubic root of 102115728 is about 467.4095116885.

Adding to 102115728 its reverse (827511201), we get a palindrome (929626929).

The spelling of 102115728 in words is "one hundred two million, one hundred fifteen thousand, seven hundred twenty-eight".