102848486400 has 1056 divisors, whose sum is σ = 419608143360. Its totient is φ = 24783667200.

The previous prime is 102848486357. The next prime is 102848486413. The reversal of 102848486400 is 4684848201.

102848486400 is a `hidden beast` number, since 10 + 2 + 84 + 84 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×102848486400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615859117 + ... + 615859283.

Almost surely, 2^102848486400 is an apocalyptic number.

102848486400 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 102848486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209804071680).

102848486400 is an abundant number, since it is smaller than the sum of its proper divisors (316759656960).

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

102848486400 is an equidigital number, since it uses as much as digits as its factorization.

102848486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 102848486400 in words is "one hundred two billion, eight hundred forty-eight million, four hundred eighty-six thousand, four hundred".