102730752 has 132 divisors (see below), whose sum is σ = 302726736. Its totient is φ = 33546240.

The previous prime is 102730729. The next prime is 102730763. The reversal of 102730752 is 257037201.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654258 + ... + 654414.

Almost surely, 2^102730752 is an apocalyptic number.

102730752 is a gapful number since it is divisible by the number (12) 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 102730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151363368).

102730752 is an abundant number, since it is smaller than the sum of its proper divisors (199995984).

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

102730752 is a wasteful number, since it uses less digits than its factorization.

102730752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 102730752 is about 10135.6179880657. The cubic root of 102730752 is about 468.3460075456.

Adding to 102730752 its reverse (257037201), we get a palindrome (359767953).

The spelling of 102730752 in words is "one hundred two million, seven hundred thirty thousand, seven hundred fifty-two".