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106450331405 = 51121091614229
BaseRepresentation
bin110001100100011101…
…1110010011100001101
3101011202201002010110212
41203020323302130031
53221002241101110
6120522544012205
710455636613265
oct1431073623415
9334681063425
10106450331405
1141166489600
121876a001065
13a065c8cca2
14521b9b67a5
152b80678e05
hex18c8ef270d

106450331405 has 24 divisors (see below), whose sum is σ = 141697109400. Its totient is φ = 76708114560.

The previous prime is 106450331369. The next prime is 106450331447. The reversal of 106450331405 is 504133054601.

It can be written as a sum of positive squares in 4 ways, for example, as 39934826569 + 66515504836 = 199837^2 + 257906^2 .

It is not a de Polignac number, because 106450331405 - 216 = 106450265869 is a prime.

It is a super-2 number, since 2×1064503314052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741170 + ... + 873059.

It is an arithmetic number, because the mean of its divisors is an integer number (5904046225).

Almost surely, 2106450331405 is an apocalyptic number.

It is an amenable number.

106450331405 is a deficient number, since it is larger than the sum of its proper divisors (35246777995).

106450331405 is a wasteful number, since it uses less digits than its factorization.

106450331405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614365 (or 1614354 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 106450331405 in words is "one hundred six billion, four hundred fifty million, three hundred thirty-one thousand, four hundred five".

Divisors: 1 5 11 55 109 121 545 605 1199 5995 13189 65945 1614229 8071145 17756519 88782595 175950961 195321709 879754805 976608545 1935460571 9677302855 21290066281 106450331405