102078333009 has 27 divisors (see below), whose sum is σ = 148364529339. Its totient is φ = 67631124960.

The previous prime is 102078332933. The next prime is 102078333013. The reversal of 102078333009 is 900333870201.

It is a happy number.

The square root of 102078333009 is 319497.

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., 68983446609 + 33094886400 = 262647^2 + 181920^2 .

It is not a de Polignac number, because 102078333009 - 2¹⁷ = 102078201937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102078333029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269335782 + ... + 269336160.

Almost surely, 2^102078333009 is an apocalyptic number.

102078333009 is the 319497-th square number.

102078333009 is the 159749-th centered octagonal number.

It is an amenable number.

102078333009 is a deficient number, since it is larger than the sum of its proper divisors (46286196330).

102078333009 is an frugal number, since it uses more digits than its factorization.

102078333009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 102078333009 by its sum of digits (36), we get a square (3674819988324 = 1916982²).

The spelling of 102078333009 in words is "one hundred two billion, seventy-eight million, three hundred thirty-three thousand, nine".