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1053040105 = 51341395137
BaseRepresentation
bin111110110001000…
…001110111101001
32201101110222110101
4332301001313221
54124034240410
6252254145401
735044456525
oct7661016751
92641428411
101053040105
114a0460687
122547b2261
1313a21b270
149dbd6d85
15626abd3a
hex3ec41de9

1053040105 has 16 divisors (see below), whose sum is σ = 1394046864. Its totient is φ = 758661120.

The previous prime is 1053040099. The next prime is 1053040127. The reversal of 1053040105 is 5010403501.

It can be written as a sum of positive squares in 8 ways, for example, as 503418969 + 549621136 = 22437^2 + 23444^2 .

It is not a de Polignac number, because 1053040105 - 211 = 1053038057 is a prime.

It is a super-2 number, since 2×10530401052 = 2217786925476822050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194904 + ... + 200233.

It is an arithmetic number, because the mean of its divisors is an integer number (87127929).

Almost surely, 21053040105 is an apocalyptic number.

It is an amenable number.

1053040105 is a deficient number, since it is larger than the sum of its proper divisors (341006759).

1053040105 is a wasteful number, since it uses less digits than its factorization.

1053040105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395196.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1053040105 is about 32450.5794247191. The cubic root of 1053040105 is about 1017.3763486505.

Adding to 1053040105 its reverse (5010403501), we get a palindrome (6063443606).

The spelling of 1053040105 in words is "one billion, fifty-three million, forty thousand, one hundred five".

Divisors: 1 5 13 41 65 205 533 2665 395137 1975685 5136781 16200617 25683905 81003085 210608021 1053040105