Search a number
-
+
106608127081 = 47269472
BaseRepresentation
bin110001101001001010…
…1101110110001101001
3101012011200222222110011
41203102111232301221
53221313140031311
6120550342051521
710462564062061
oct1432225566151
9335150888404
10106608127081
1141237565855
12187b2a19ba1
13a08c88b301
1452349303a1
152b8e448321
hex18d256ec69

106608127081 has 9 divisors (see below), whose sum is σ = 108940327549. Its totient is φ = 104324849644.

The previous prime is 106608127079. The next prime is 106608127097. The reversal of 106608127081 is 180721806601.

The square root of 106608127081 is 326509.

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

It is not a de Polignac number, because 106608127081 - 21 = 106608127079 is a prime.

It is a super-3 number, since 3×1066081270813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106608127181) 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, 15342450 + ... + 15349396.

Almost surely, 2106608127081 is an apocalyptic number.

106608127081 is the 326509-th square number.

106608127081 is the 163255-th centered octagonal number.

It is an amenable number.

106608127081 is a deficient number, since it is larger than the sum of its proper divisors (2332200468).

106608127081 is an frugal number, since it uses more digits than its factorization.

106608127081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13988 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 106608127081 in words is "one hundred six billion, six hundred eight million, one hundred twenty-seven thousand, eighty-one".

Divisors: 1 47 2209 6947 326509 15345923 48260809 2268258023 106608127081