Search a number
-
+
106742041 = 722178409
BaseRepresentation
bin1100101110011…
…00000100011001
321102212001112221
412113030010121
5204311221131
614331504041
72434202200
oct627140431
9242761487
10106742041
115528696a
122b8b8021
1319164493
1410268237
159587411
hex65cc119

106742041 has 6 divisors (see below), whose sum is σ = 124169370. Its totient is φ = 91493136.

The previous prime is 106741993. The next prime is 106742063. The reversal of 106742041 is 140247601.

It can be written as a sum of positive squares in only one way, i.e., 76930441 + 29811600 = 8771^2 + 5460^2 .

It is not a de Polignac number, because 106742041 - 211 = 106739993 is a prime.

It is a super-2 number, since 2×1067420412 = 22787726633691362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106741997 and 106742015.

It is not an unprimeable number, because it can be changed into a prime (106742071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1089156 + ... + 1089253.

It is an arithmetic number, because the mean of its divisors is an integer number (20694895).

Almost surely, 2106742041 is an apocalyptic number.

It is an amenable number.

106742041 is a deficient number, since it is larger than the sum of its proper divisors (17427329).

106742041 is an equidigital number, since it uses as much as digits as its factorization.

106742041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178423 (or 2178416 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 106742041 is about 10331.6039897007. The cubic root of 106742041 is about 474.3641219892.

Adding to 106742041 its reverse (140247601), we get a palindrome (246989642).

The spelling of 106742041 in words is "one hundred six million, seven hundred forty-two thousand, forty-one".

Divisors: 1 7 49 2178409 15248863 106742041