102047663601 has 27 divisors (see below), whose sum is σ = 159632501067. Its totient is φ = 62790895440.

The previous prime is 102047663569. The next prime is 102047663639. The reversal of 102047663601 is 106366740201.

It is a happy number.

The square root of 102047663601 is 319449.

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

102047663601 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 47 + 6 + 6 + 3 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15095808225 + 86951855376 = 122865^2 + 294876^2 .

It is not a de Polignac number, because 102047663601 - 2⁵ = 102047663569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102047663101) 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 26 ways as a sum of consecutive naturals, for example, 12454416 + ... + 12462606.

Almost surely, 2^102047663601 is an apocalyptic number.

102047663601 is the 319449-th square number.

102047663601 is the 159725-th centered octagonal number.

It is an amenable number.

102047663601 is a deficient number, since it is larger than the sum of its proper divisors (57584837466).

102047663601 is an frugal number, since it uses more digits than its factorization.

102047663601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 102047663601 by its sum of digits (36), we get a square (3673715889636 = 1916694²).

The spelling of 102047663601 in words is "one hundred two billion, forty-seven million, six hundred sixty-three thousand, six hundred one".