102465930609 has 45 divisors (see below), whose sum is σ = 178091871771. Its totient is φ = 58540436640.

The previous prime is 102465930571. The next prime is 102465930643. The reversal of 102465930609 is 906039564201.

The square root of 102465930609 is 320103.

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

102465930609 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 5 + 9 + 30 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14042961009 + 88422969600 = 118503^2 + 297360^2 .

It is not a de Polignac number, because 102465930609 - 2¹⁷ = 102465799537 is a prime.

It is a super-2 number, since 2×102465930609² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102465930689) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20163949 + ... + 20169029.

Almost surely, 2^102465930609 is an apocalyptic number.

102465930609 is the 320103-rd square number.

102465930609 is the 160052-nd centered octagonal number.

It is an amenable number.

102465930609 is a deficient number, since it is larger than the sum of its proper divisors (75625941162).

102465930609 is an frugal number, since it uses more digits than its factorization.

102465930609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 102465930609 in words is "one hundred two billion, four hundred sixty-five million, nine hundred thirty thousand, six hundred nine".