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106056005605 = 511174314471823
BaseRepresentation
bin110001011000101101…
…1100011011111100101
3101010202020002022011121
41202301123203133211
53214200314134410
6120415500133541
710443111113344
oct1426133433745
9333666068147
10106056005605
1140a83939810
1218679b372b1
13a002387304
1451c148bb5b
152b5ac369da
hex18b16e37e5

106056005605 has 64 divisors (see below), whose sum is σ = 150609051648. Its totient is φ = 70818370560.

The previous prime is 106056005591. The next prime is 106056005609. The reversal of 106056005605 is 506500650601.

It is not a de Polignac number, because 106056005605 - 233 = 97466071013 is a prime.

It is a super-2 number, since 2×1060560056052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056005609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58175724 + ... + 58177546.

It is an arithmetic number, because the mean of its divisors is an integer number (2353266432).

Almost surely, 2106056005605 is an apocalyptic number.

It is an amenable number.

106056005605 is a deficient number, since it is larger than the sum of its proper divisors (44553046043).

106056005605 is a wasteful number, since it uses less digits than its factorization.

106056005605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 106056005605 in words is "one hundred six billion, fifty-six million, five thousand, six hundred five".

Divisors: 1 5 11 17 43 55 85 187 215 473 731 935 1447 1823 2365 3655 7235 8041 9115 15917 20053 24599 30991 40205 62221 78389 79585 100265 122995 154955 270589 311105 340901 391945 684431 862279 1057757 1332613 1352945 1704505 2637881 3422155 4311395 5288785 6663065 11635327 13189405 14658743 29016691 44843977 58176635 73293715 113428883 145083455 224219885 493283747 567144415 1247717713 1928291011 2466418735 6238588565 9641455055 21211201121 106056005605