102456720 has 180 divisors, whose sum is σ = 361031580. Its totient is φ = 26036736.

The previous prime is 102456709. The next prime is 102456749. The reversal of 102456720 is 27654201.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 82955664 = 4416^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380746 + ... + 381014.

It is an arithmetic number, because the mean of its divisors is an integer number (2005731).

Almost surely, 2^102456720 is an apocalyptic number.

102456720 is a gapful number since it is divisible by the number (10) 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 102456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180515790).

102456720 is an abundant number, since it is smaller than the sum of its proper divisors (258574860).

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

102456720 is a wasteful number, since it uses less digits than its factorization.

102456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 102456720 is about 10122.0906931325. The cubic root of 102456720 is about 467.9292025274.

The spelling of 102456720 in words is "one hundred two million, four hundred fifty-six thousand, seven hundred twenty".