102177081959824 has 135 divisors (see below), whose sum is σ = 215364981488067. Its totient is φ = 46951530135552.

The previous prime is 102177081959819. The next prime is 102177081959831. The reversal of 102177081959824 is 428959180771201.

It is a happy number.

The square root of 102177081959824 is 10108268.

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

102177081959824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13335146599824 + 88841935360000 = 3651732^2 + 9425600^2 .

It is a super-2 number, since 2×102177081959824² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29556573904 + ... + 29556577360.

Almost surely, 2^{102177081959824} is an apocalyptic number.

102177081959824 is the 10108268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102177081959824

102177081959824 is an abundant number, since it is smaller than the sum of its proper divisors (113187899528243).

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

102177081959824 is an frugal number, since it uses more digits than its factorization.

102177081959824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 64.

The spelling of 102177081959824 in words is "one hundred two trillion, one hundred seventy-seven billion, eighty-one million, nine hundred fifty-nine thousand, eight hundred twenty-four".