102000456 has 96 divisors (see below), whose sum is σ = 286486200. Its totient is φ = 32762880.

The previous prime is 102000449. The next prime is 102000463. The reversal of 102000456 is 654000201.

It is a happy number.

102000456 is a `hidden beast` number, since 10 + 200 + 0 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (102000449) and next prime (102000463).

It can be written as a sum of positive squares in 4 ways, for example, as 44756100 + 57244356 = 6690^2 + 7566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321610 + ... + 321926.

Almost surely, 2^102000456 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 102000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143243100).

102000456 is an abundant number, since it is smaller than the sum of its proper divisors (184485744).

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

102000456 is a wasteful number, since it uses less digits than its factorization.

102000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102000456 is about 10099.5275137008. The cubic root of 102000456 is about 467.2335691031.

Adding to 102000456 its reverse (654000201), we get a palindrome (756000657).

The spelling of 102000456 in words is "one hundred two million, four hundred fifty-six", and thus it is an aban number.