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105505422 = 231129199277
BaseRepresentation
bin1100100100111…
…10001010001110
321100112020020020
412102132022032
5204002133142
614245203010
72420531661
oct622361216
9240466206
10105505422
1154611870
122b400466
1318b20659
14100256d8
1593e0cec
hex649e28e

105505422 has 64 divisors (see below), whose sum is σ = 240192000. Its totient is φ = 30602880.

The previous prime is 105505409. The next prime is 105505427. The reversal of 105505422 is 224505501.

It is a happy number.

It is a super-2 number, since 2×1055054222 = 22262788142796168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505392 and 105505401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380748 + ... + 381024.

It is an arithmetic number, because the mean of its divisors is an integer number (3753000).

Almost surely, 2105505422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105505422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120096000).

105505422 is an abundant number, since it is smaller than the sum of its proper divisors (134686578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505422 is a wasteful number, since it uses less digits than its factorization.

105505422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105505422 is about 10271.5832275263. The cubic root of 105505422 is about 472.5251474536.

The spelling of 105505422 in words is "one hundred five million, five hundred five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 199 277 319 398 554 597 638 831 957 1194 1662 1914 2189 3047 4378 5771 6094 6567 8033 9141 11542 13134 16066 17313 18282 24099 34626 48198 55123 63481 88363 110246 126962 165369 176726 190443 265089 330738 380886 530178 606353 1212706 1598567 1819059 3197134 3638118 4795701 9591402 17584237 35168474 52752711 105505422