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10742340105 = 325734102667
BaseRepresentation
bin10100000000100101…
…10001101000001001
31000201122121102022100
422000102301220021
5134000014340410
64533541344013
7530130245550
oct120022615011
930648542270
1010742340105
114612853132
1220b9708009
131022732583
1473c99cd97
1542d1458c0
hex2804b1a09

10742340105 has 24 divisors (see below), whose sum is σ = 21280064832. Its totient is φ = 4910783904.

The previous prime is 10742340071. The next prime is 10742340107. The reversal of 10742340105 is 50104324701.

It is not a de Polignac number, because 10742340105 - 26 = 10742340041 is a prime.

It is a super-2 number, since 2×107423401052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10742340107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17051019 + ... + 17051648.

It is an arithmetic number, because the mean of its divisors is an integer number (886669368).

Almost surely, 210742340105 is an apocalyptic number.

10742340105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10742340105 is a deficient number, since it is larger than the sum of its proper divisors (10537724727).

10742340105 is a wasteful number, since it uses less digits than its factorization.

10742340105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34102685 (or 34102682 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10742340105 its reverse (50104324701), we get a palindrome (60846664806).

The spelling of 10742340105 in words is "ten billion, seven hundred forty-two million, three hundred forty thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 34102667 102308001 170513335 238718669 306924003 511540005 716156007 1193593345 1534620015 2148468021 3580780035 10742340105