102716096 has 56 divisors (see below), whose sum is σ = 235122720. Its totient is φ = 43610112.

The previous prime is 102716093. The next prime is 102716123. The reversal of 102716096 is 690617201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (102716093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49610 + ... + 51638.

It is an arithmetic number, because the mean of its divisors is an integer number (4198620).

Almost surely, 2^102716096 is an apocalyptic number.

102716096 is a gapful number since it is divisible by the number (16) 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 102716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117561360).

102716096 is an abundant number, since it is smaller than the sum of its proper divisors (132406624).

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

102716096 is a wasteful number, since it uses less digits than its factorization.

102716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 102716096 is about 10134.8949673887. The cubic root of 102716096 is about 468.3237344177.

The spelling of 102716096 in words is "one hundred two million, seven hundred sixteen thousand, ninety-six".