102245818081 has 27 divisors (see below), whose sum is σ = 115356578169. Its totient is φ = 90555748800.

The previous prime is 102245818069. The next prime is 102245818109. The reversal of 102245818081 is 180818542201.

The square root of 102245818081 is 319759.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70097328081 + 32148490000 = 264759^2 + 179300^2 .

It is not a de Polignac number, because 102245818081 - 2¹³ = 102245809889 is a prime.

It is a super-2 number, since 2×102245818081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102245818021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144210955 + ... + 144211663.

Almost surely, 2^102245818081 is an apocalyptic number.

102245818081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102245818081 is the 319759-th square number.

102245818081 is the 159880-th centered octagonal number.

It is an amenable number.

102245818081 is a deficient number, since it is larger than the sum of its proper divisors (13110760088).

102245818081 is an frugal number, since it uses more digits than its factorization.

102245818081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The spelling of 102245818081 in words is "one hundred two billion, two hundred forty-five million, eight hundred eighteen thousand, eighty-one".