Search a number
-
+
106507921517 is a prime number
BaseRepresentation
bin110001100110001011…
…1011110100001101101
3101011220201110000020222
41203030113132201231
53221112011442032
6120532402221125
710460236252424
oct1431427364155
9334821400228
10106507921517
1141195a43938
12187853547a5
13a074ba508a
1452254c82bb
152b85752a12
hex18cc5de86d

106507921517 has 2 divisors, whose sum is σ = 106507921518. Its totient is φ = 106507921516.

The previous prime is 106507921451. The next prime is 106507921523. The reversal of 106507921517 is 715129705601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61434083881 + 45073837636 = 247859^2 + 212306^2 .

It is a cyclic number.

It is not a de Polignac number, because 106507921517 - 224 = 106491144301 is a prime.

It is a super-2 number, since 2×1065079215172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106507921537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53253960758 + 53253960759.

It is an arithmetic number, because the mean of its divisors is an integer number (53253960759).

Almost surely, 2106507921517 is an apocalyptic number.

It is an amenable number.

106507921517 is a deficient number, since it is larger than the sum of its proper divisors (1).

106507921517 is an equidigital number, since it uses as much as digits as its factorization.

106507921517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 132300, while the sum is 44.

The spelling of 106507921517 in words is "one hundred six billion, five hundred seven million, nine hundred twenty-one thousand, five hundred seventeen".