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10742044105 = 513165262217
BaseRepresentation
bin10100000000100011…
…01001010111001001
31000201122001101021101
422000101221113021
5133444430402410
64533531141401
7530124603562
oct120021512711
930648041241
1010742044105
114612670801
1220b95a4861
13102265a920
1473c923169
1542d0d7d3a
hex2804695c9

10742044105 has 8 divisors (see below), whose sum is σ = 13882026312. Its totient is φ = 7932586368.

The previous prime is 10742044057. The next prime is 10742044123. The reversal of 10742044105 is 50144024701.

It can be written as a sum of positive squares in 4 ways, for example, as 2074620304 + 8667423801 = 45548^2 + 93099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10742044105 - 227 = 10607826377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82631044 + ... + 82631173.

It is an arithmetic number, because the mean of its divisors is an integer number (1735253289).

Almost surely, 210742044105 is an apocalyptic number.

It is an amenable number.

10742044105 is a deficient number, since it is larger than the sum of its proper divisors (3139982207).

10742044105 is a wasteful number, since it uses less digits than its factorization.

10742044105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165262235.

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 10742044105 its reverse (50144024701), we get a palindrome (60886068806).

It can be divided in two parts, 107420 and 44105, that added together give a triangular number (151525 = T550).

The spelling of 10742044105 in words is "ten billion, seven hundred forty-two million, forty-four thousand, one hundred five".

Divisors: 1 5 13 65 165262217 826311085 2148408821 10742044105