Search a number
-
+
106556605537 is a prime number
BaseRepresentation
bin110001100111101000…
…1001100010001100001
3101012001010001102011211
41203033101030101201
53221211442334122
6120541301510121
710461400126354
oct1431721142141
9335033042154
10106556605537
1141210475968
1218799712341
13a081cbc4a5
14522bb5c29b
152b89b6c877
hex18cf44c461

106556605537 has 2 divisors, whose sum is σ = 106556605538. Its totient is φ = 106556605536.

The previous prime is 106556605483. The next prime is 106556605549. The reversal of 106556605537 is 735506655601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88480071936 + 18076533601 = 297456^2 + 134449^2 .

It is a cyclic number.

It is not a de Polignac number, because 106556605537 - 227 = 106422387809 is a prime.

It is a super-2 number, since 2×1065566055372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106556405537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53278302768 + 53278302769.

It is an arithmetic number, because the mean of its divisors is an integer number (53278302769).

Almost surely, 2106556605537 is an apocalyptic number.

It is an amenable number.

106556605537 is a deficient number, since it is larger than the sum of its proper divisors (1).

106556605537 is an equidigital number, since it uses as much as digits as its factorization.

106556605537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835000, while the sum is 49.

The spelling of 106556605537 in words is "one hundred six billion, five hundred fifty-six million, six hundred five thousand, five hundred thirty-seven".