102282740661049 has 27 divisors (see below), whose sum is σ = 112304392463943. Its totient is φ = 93112745536512.

The previous prime is 102282740660983. The next prime is 102282740661071. The reversal of 102282740661049 is 940166047282201.

The square root of 102282740661049 is 10113493.

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

It can be written as a sum of positive squares in 13 ways, for example, as 101468653117225 + 814087543824 = 10073165^2 + 902268^2 .

It is not a de Polignac number, because 102282740661049 - 2¹⁹ = 102282740136761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102282740660987 and 102282740661005.

It is not an unprimeable number, because it can be changed into a prime (102282740661089) 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, 9597699529 + ... + 9597710185.

It is an arithmetic number, because the mean of its divisors is an integer number (4159421943109).

Almost surely, 2^{102282740661049} is an apocalyptic number.

102282740661049 is the 10113493-rd square number.

102282740661049 is the 5056747-th centered octagonal number.

It is an amenable number.

102282740661049 is a deficient number, since it is larger than the sum of its proper divisors (10021651802894).

102282740661049 is an frugal number, since it uses more digits than its factorization.

102282740661049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21486 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 102282740661049 in words is "one hundred two trillion, two hundred eighty-two billion, seven hundred forty million, six hundred sixty-one thousand, forty-nine".