102717952 has 40 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 48651264.

The previous prime is 102717947. The next prime is 102717959. The reversal of 102717952 is 259717201.

It is not an unprimeable number, because it can be changed into a prime (102717959) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4449 + ... + 15007.

It is an arithmetic number, because the mean of its divisors is an integer number (5401440).

Almost surely, 2^102717952 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 102717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

102717952 is an abundant number, since it is smaller than the sum of its proper divisors (113339648).

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

102717952 is an equidigital number, since it uses as much as digits as its factorization.

102717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 102717952 is about 10134.9865318115. The cubic root of 102717952 is about 468.3265551493.

The spelling of 102717952 in words is "one hundred two million, seven hundred seventeen thousand, nine hundred fifty-two".