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106344140305 = 5131796239041
BaseRepresentation
bin110001100001010011…
…0101100111000010001
3101011111022021001200011
41203002212230320101
53220243044442210
6120504231554521
710453210164244
oct1430246547021
9334438231604
10106344140305
1141111549667
121873a52ba41
13a049c8c510
14520b85325b
152b7619ed8a
hex18c29ace11

106344140305 has 16 divisors (see below), whose sum is σ = 145513431504. Its totient is φ = 73911582720.

The previous prime is 106344140299. The next prime is 106344140321. The reversal of 106344140305 is 503041443601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23703989521 + 82640150784 = 153961^2 + 287472^2 .

It is a de Polignac number, because none of the positive numbers 2k-106344140305 is a prime.

It is a super-2 number, since 2×1063441403052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48118416 + ... + 48120625.

It is an arithmetic number, because the mean of its divisors is an integer number (9094589469).

Almost surely, 2106344140305 is an apocalyptic number.

It is an amenable number.

106344140305 is a deficient number, since it is larger than the sum of its proper divisors (39169291199).

106344140305 is a wasteful number, since it uses less digits than its factorization.

106344140305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96239076.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 106344140305 its reverse (503041443601), we get a palindrome (609385583906).

The spelling of 106344140305 in words is "one hundred six billion, three hundred forty-four million, one hundred forty thousand, three hundred five".

Divisors: 1 5 13 17 65 85 221 1105 96239041 481195205 1251107533 1636063697 6255537665 8180318485 21268828061 106344140305