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105119432 = 231117292423
BaseRepresentation
bin1100100001111…
…11111011001000
321022210121202022
412100333323020
5203402310212
614233024012
72414333435
oct620777310
9238717668
10105119432
1154378870
122b255008
1318a16a62
14dd64b8c
159366772
hex643fec8

105119432 has 64 divisors (see below), whose sum is σ = 235612800. Its totient is φ = 43402240.

The previous prime is 105119423. The next prime is 105119447. The reversal of 105119432 is 234911501.

It is a super-2 number, since 2×1051194322 = 22100189968005248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42173 + ... + 44595.

It is an arithmetic number, because the mean of its divisors is an integer number (3681450).

Almost surely, 2105119432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105119432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117806400).

105119432 is an abundant number, since it is smaller than the sum of its proper divisors (130493368).

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

105119432 is a wasteful number, since it uses less digits than its factorization.

105119432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105119432 is about 10252.7767946054. The cubic root of 105119432 is about 471.9482012485.

The spelling of 105119432 in words is "one hundred five million, one hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 986 1276 1496 1972 2423 2552 3944 4846 5423 9692 10846 19384 21692 26653 41191 43384 53306 70267 82382 106612 140534 164764 213224 281068 329528 453101 562136 772937 906202 1194539 1545874 1812404 2389078 3091748 3624808 4778156 6183496 9556312 13139929 26279858 52559716 105119432