102019554823729 has 27 divisors (see below), whose sum is σ = 109322862790827. Its totient is φ = 95194937930400.

The previous prime is 102019554823727. The next prime is 102019554823787. The reversal of 102019554823729 is 927328455910201.

The square root of 102019554823729 is 10100473.

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

It can be written as a sum of positive squares in only one way, i.e., 4915873849329 + 97103680974400 = 2217177^2 + 9854120^2 .

It is not a de Polignac number, because 102019554823729 - 2¹ = 102019554823727 is a prime.

It is a super-2 number, since 2×102019554823729² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102019554823723) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9524740684 + ... + 9524751394.

Almost surely, 2^{102019554823729} is an apocalyptic number.

102019554823729 is the 10100473-rd square number.

102019554823729 is the 5050237-th centered octagonal number.

It is an amenable number.

102019554823729 is a deficient number, since it is larger than the sum of its proper divisors (7303307967098).

102019554823729 is an frugal number, since it uses more digits than its factorization.

102019554823729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21550 (or 10775 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 102019554823729 in words is "one hundred two trillion, nineteen billion, five hundred fifty-four million, eight hundred twenty-three thousand, seven hundred twenty-nine".