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105554161881 = 310721912
BaseRepresentation
bin110001001001110000…
…1001011000011011001
3101002110020210000000000
41202103201023003121
53212133331140011
6120254012003213
710424505400200
oct1422341130331
9332406700000
10105554161881
1140846633133
1218559a60509
139c52407c6c
145174976237
152b2bb57356
hex189384b0d9

105554161881 has 99 divisors (see below), whose sum is σ = 185149544853. Its totient is φ = 60000869880.

The previous prime is 105554161847. The next prime is 105554161931. The reversal of 105554161881 is 188161455501.

The square root of 105554161881 is 324891.

It is a perfect power (a square), and thus also a powerful number.

105554161881 is a `hidden beast` number, since 1 + 0 + 5 + 55 + 416 + 188 + 1 = 666.

It is not a de Polignac number, because 105554161881 - 29 = 105554161369 is a prime.

It is a super-2 number, since 2×1055541618812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105554161841) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 552639496 + ... + 552639686.

Almost surely, 2105554161881 is an apocalyptic number.

105554161881 is the 324891-st square number.

105554161881 is the 162446-th centered octagonal number.

It is an amenable number.

105554161881 is a deficient number, since it is larger than the sum of its proper divisors (79595382972).

105554161881 is an frugal number, since it uses more digits than its factorization.

105554161881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

It can be divided in two parts, 105 and 554161881, that added together give a triangular number (554161986 = T33291).

The spelling of 105554161881 in words is "one hundred five billion, five hundred fifty-four million, one hundred sixty-one thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 191 243 441 567 573 729 1323 1337 1701 1719 2187 3969 4011 5103 5157 6561 9359 11907 12033 15309 15471 19683 28077 35721 36099 36481 45927 46413 59049 84231 107163 108297 109443 137781 139239 252693 255367 321489 324891 328329 413343 417717 758079 766101 964467 974673 984987 1253151 1787569 2274237 2298303 2893401 2924019 2954961 3759453 5362707 6822711 6894909 8772057 8864883 11278359 16088121 20468133 20684727 26316171 26594649 48264363 61404399 62054181 78948513 79783947 144793089 184213197 186162543 239351841 434379267 552639591 558487629 718055523 1303137801 1675462887 2154166569 3909413403 5026388661 11728240209 15079165983 35184720627 105554161881