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105162954 = 23132372803
BaseRepresentation
bin1100100010010…
…10100011001010
321022212211110020
412101022203022
5203410203304
614234001310
72414604351
oct621124312
9238784406
10105162954
11543a8536
122b276236
1318a30800
14dd76998
1593745d9
hex644a8ca

105162954 has 48 divisors (see below), whose sum is σ = 233988192. Its totient is φ = 31472064.

The previous prime is 105162949. The next prime is 105162973. The reversal of 105162954 is 459261501.

It is a super-2 number, since 2×1051629542 = 22118493788012232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36117 + ... + 38919.

It is an arithmetic number, because the mean of its divisors is an integer number (4874754).

Almost surely, 2105162954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105162954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116994096).

105162954 is an abundant number, since it is smaller than the sum of its proper divisors (128825238).

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

105162954 is a wasteful number, since it uses less digits than its factorization.

105162954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 105162954 is about 10254.8990243688. The cubic root of 105162954 is about 472.0133249374.

The spelling of 105162954 in words is "one hundred five million, one hundred sixty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1443 2803 2886 5606 6253 8409 12506 16818 18759 36439 37518 72878 103711 109317 207422 218634 311133 473707 622266 947414 1348243 1421121 2696486 2842242 4044729 8089458 17527159 35054318 52581477 105162954