102516384 has 24 divisors (see below), whose sum is σ = 269105760. Its totient is φ = 34172096.

The previous prime is 102516383. The next prime is 102516391. The reversal of 102516384 is 483615201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×102516384³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102516383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533844 + ... + 534035.

It is an arithmetic number, because the mean of its divisors is an integer number (11212740).

Almost surely, 2^102516384 is an apocalyptic number.

It is an amenable number.

102516384 is an abundant number, since it is smaller than the sum of its proper divisors (166589376).

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

102516384 is a wasteful number, since it uses less digits than its factorization.

102516384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067892 (or 1067884 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 102516384 is about 10125.0374814121. The cubic root of 102516384 is about 468.0200152153.

The spelling of 102516384 in words is "one hundred two million, five hundred sixteen thousand, three hundred eighty-four".