102146077609 has 9 divisors (see below), whose sum is σ = 103925896087. Its totient is φ = 100396251184.

The previous prime is 102146077589. The next prime is 102146077619. The reversal of 102146077609 is 906770641201.

The square root of 102146077609 is 319603.

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., 8309234025 + 93836843584 = 91155^2 + 306328^2 .

It is not a de Polignac number, because 102146077609 - 2⁵ = 102146077577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102146077619) 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 8 ways as a sum of consecutive naturals, for example, 18853869 + ... + 18859285.

Almost surely, 2^102146077609 is an apocalyptic number.

102146077609 is the 319603-rd square number.

102146077609 is the 159802-nd centered octagonal number.

It is an amenable number.

102146077609 is a deficient number, since it is larger than the sum of its proper divisors (1779818478).

102146077609 is an frugal number, since it uses more digits than its factorization.

102146077609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 102146077609 in words is "one hundred two billion, one hundred forty-six million, seventy-seven thousand, six hundred nine".