102516096 has 64 divisors (see below), whose sum is σ = 286660800. Its totient is φ = 32371200.

The previous prime is 102516091. The next prime is 102516143. The reversal of 102516096 is 690615201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102516091) 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, 271 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (4479075).

Almost surely, 2^102516096 is an apocalyptic number.

102516096 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 102516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143330400).

102516096 is an abundant number, since it is smaller than the sum of its proper divisors (184144704).

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

102516096 is a wasteful number, since it uses less digits than its factorization.

102516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14087 (or 14075 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 102516096 is about 10125.0232592325. The cubic root of 102516096 is about 468.0195769442.

The spelling of 102516096 in words is "one hundred two million, five hundred sixteen thousand, ninety-six".