101872625680809 has 27 divisors (see below), whose sum is σ = 152050623457239. Its totient is φ = 65723669040960.

The previous prime is 101872625680801. The next prime is 101872625680853. The reversal of 101872625680809 is 908086526278101.

The square root of 101872625680809 is 10093197.

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

101872625680809 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 7 + 2 + 62 + 568 + 0 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95953720586409 + 5918905094400 = 9795597^2 + 2432880^2 .

It is not a de Polignac number, because 101872625680809 - 2³ = 101872625680801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101872625680801) 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, 938613057 + ... + 938721585.

Almost surely, 2^{101872625680809} is an apocalyptic number.

101872625680809 is the 10093197-th square number.

101872625680809 is the 5046599-th centered octagonal number.

It is an amenable number.

101872625680809 is a deficient number, since it is larger than the sum of its proper divisors (50177997776430).

101872625680809 is an frugal number, since it uses more digits than its factorization.

101872625680809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217126 (or 108563 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 101872625680809 in words is "one hundred one trillion, eight hundred seventy-two billion, six hundred twenty-five million, six hundred eighty thousand, eight hundred nine".