102745388595600 has 405 divisors, whose sum is σ = 370309065716707. Its totient is φ = 27394391393280.

The previous prime is 102745388595589. The next prime is 102745388595683. The reversal of 102745388595600 is 6595883547201.

The square root of 102745388595600 is 10136340.

It is a perfect power (a square), and thus also a powerful number.

102745388595600 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 5 + 38 + 8 + 595 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27369931530384 + 75375457065216 = 5231628^2 + 8681904^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×102745388595600² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16420867672 + ... + 16420873928.

It is a 1-persistent number, because it is pandigital, but 2⋅102745388595600 = 205490777191200 is not.

Almost surely, 2^{102745388595600} is an apocalyptic number.

102745388595600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102745388595600 is the 10136340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102745388595600

102745388595600 is an abundant number, since it is smaller than the sum of its proper divisors (267563677121107).

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

102745388595600 is an frugal number, since it uses more digits than its factorization.

102745388595600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 102745388595600 in words is "one hundred two trillion, seven hundred forty-five billion, three hundred eighty-eight million, five hundred ninety-five thousand, six hundred".