102087456 has 96 divisors (see below), whose sum is σ = 285485760. Its totient is φ = 31850496.

The previous prime is 102087449. The next prime is 102087463. The reversal of 102087456 is 654780201.

It is an interprime number because it is at equal distance from previous prime (102087449) and next prime (102087463).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176640 + ... + 177216.

It is an arithmetic number, because the mean of its divisors is an integer number (2973810).

Almost surely, 2^102087456 is an apocalyptic number.

102087456 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 102087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142742880).

102087456 is an abundant number, since it is smaller than the sum of its proper divisors (183398304).

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

102087456 is a wasteful number, since it uses less digits than its factorization.

102087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 102087456 is about 10103.8337278481. The cubic root of 102087456 is about 467.3663716756.

The spelling of 102087456 in words is "one hundred two million, eighty-seven thousand, four hundred fifty-six".