102103812720 has 720 divisors, whose sum is σ = 452212619040. Its totient is φ = 20407209984.

The previous prime is 102103812719. The next prime is 102103812721. The reversal of 102103812720 is 27218301201.

102103812720 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 381 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102103812719) and next prime (102103812721).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103812721) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8708302 + ... + 8720018.

It is an arithmetic number, because the mean of its divisors is an integer number (628073082).

Almost surely, 2^102103812720 is an apocalyptic number.

102103812720 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 102103812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226106309520).

102103812720 is an abundant number, since it is smaller than the sum of its proper divisors (350108806320).

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

102103812720 is a wasteful number, since it uses less digits than its factorization.

102103812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 102103812720 in words is "one hundred two billion, one hundred three million, eight hundred twelve thousand, seven hundred twenty".