102480840 has 192 divisors, whose sum is σ = 415359360. Its totient is φ = 21288960.

The previous prime is 102480839. The next prime is 102480841. The reversal of 102480840 is 48084201.

102480840 is a `hidden beast` number, since 102 + 480 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102480839) and next prime (102480841).

It is not an unprimeable number, because it can be changed into a prime (102480841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25872 + ... + 29568.

It is an arithmetic number, because the mean of its divisors is an integer number (2163330).

Almost surely, 2^102480840 is an apocalyptic number.

102480840 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 102480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207679680).

102480840 is an abundant number, since it is smaller than the sum of its proper divisors (312878520).

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

102480840 is a wasteful number, since it uses less digits than its factorization.

102480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102480840 is about 10123.2820764809. The cubic root of 102480840 is about 467.9659190610.

The spelling of 102480840 in words is "one hundred two million, four hundred eighty thousand, eight hundred forty".