102713088 has 72 divisors (see below), whose sum is σ = 287795200. Its totient is φ = 32431104.

The previous prime is 102713059. The next prime is 102713119. The reversal of 102713088 is 880317201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11073 + ... + 18111.

Almost surely, 2^102713088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102713088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143897600).

102713088 is an abundant number, since it is smaller than the sum of its proper divisors (185082112).

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

102713088 is an equidigital number, since it uses as much as digits as its factorization.

102713088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 102713088 is about 10134.7465681190. The cubic root of 102713088 is about 468.3191628150.

The spelling of 102713088 in words is "one hundred two million, seven hundred thirteen thousand, eighty-eight".