Search a number
-
+
106102574141 is a prime number
BaseRepresentation
bin110001011010000110…
…1001100110000111101
3101010212110201020012012
41202310031030300331
53214244224333031
6120424242221005
710444214666564
oct1426415146075
9333773636165
10106102574141
1140aa8156403
1218691654765
13a00bc10865
1451c7730bdb
152b5ed84b2b
hex18b434cc3d

106102574141 has 2 divisors, whose sum is σ = 106102574142. Its totient is φ = 106102574140.

The previous prime is 106102574107. The next prime is 106102574153. The reversal of 106102574141 is 141475201601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105660102916 + 442471225 = 325054^2 + 21035^2 .

It is a cyclic number.

It is not a de Polignac number, because 106102574141 - 222 = 106098379837 is a prime.

It is a super-2 number, since 2×1061025741412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106102574098 and 106102574107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106102574041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53051287070 + 53051287071.

It is an arithmetic number, because the mean of its divisors is an integer number (53051287071).

Almost surely, 2106102574141 is an apocalyptic number.

It is an amenable number.

106102574141 is a deficient number, since it is larger than the sum of its proper divisors (1).

106102574141 is an equidigital number, since it uses as much as digits as its factorization.

106102574141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 106102574141 its reverse (141475201601), we get a palindrome (247577775742).

The spelling of 106102574141 in words is "one hundred six billion, one hundred two million, five hundred seventy-four thousand, one hundred forty-one".