102961609 has 9 divisors (see below), whose sum is σ = 105147783. Its totient is φ = 100820592.

The previous prime is 102961603. The next prime is 102961739. The reversal of 102961609 is 906169201.

The square root of 102961609 is 10147.

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., 58446025 + 44515584 = 7645^2 + 6672^2 .

It is not a de Polignac number, because 102961609 - 2³ = 102961601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 740662 + ... + 740800.

It is an arithmetic number, because the mean of its divisors is an integer number (11683087).

Almost surely, 2^102961609 is an apocalyptic number.

102961609 is the 10147-th square number.

102961609 is the 5074-th centered octagonal number.

It is an amenable number.

102961609 is a deficient number, since it is larger than the sum of its proper divisors (2186174).

102961609 is an frugal number, since it uses more digits than its factorization.

102961609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The cubic root of 102961609 is about 468.6965681556.

The spelling of 102961609 in words is "one hundred two million, nine hundred sixty-one thousand, six hundred nine".