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105403056 = 24311892243
BaseRepresentation
bin1100100100001…
…01001010110000
321100100000210220
412102011022300
5203440344211
614243053040
72416624353
oct622051260
9240300726
10105403056
1154551970
122b371180
1318ab5b95
14ddda29a
1593c0806
hex64852b0

105403056 has 80 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 31567360.

The previous prime is 105403031. The next prime is 105403057. The reversal of 105403056 is 650304501.

It is a super-2 number, since 2×1054030562 = 22219608428278272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105403057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45871 + ... + 48113.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456).

Almost surely, 2105403056 is an apocalyptic number.

105403056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

105403056 is an abundant number, since it is smaller than the sum of its proper divisors (195113424).

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

105403056 is a wasteful number, since it uses less digits than its factorization.

105403056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105403056 is about 10266.5990473964. The cubic root of 105403056 is about 472.3722764431.

Adding to 105403056 its reverse (650304501), we get a palindrome (755707557).

The spelling of 105403056 in words is "one hundred five million, four hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2243 2937 3916 4272 4486 5874 6729 7832 8972 11748 13458 15664 17944 23496 24673 26916 35888 46992 49346 53832 74019 98692 107664 148038 197384 199627 296076 394768 399254 592152 598881 798508 1184304 1197762 1597016 2195897 2395524 3194032 4391794 4791048 6587691 8783588 9582096 13175382 17567176 26350764 35134352 52701528 105403056