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105394296 = 233743159
BaseRepresentation
bin1100100100000…
…11000001111000
321100022120210110
412102003001320
5203440104141
614242544320
72416560000
oct622030170
9240276713
10105394296
1154546327
122b3680a0
1318ab1bb7
14ddd7000
1593bce16
hex6483078

105394296 has 160 divisors (see below), whose sum is σ = 322675200. Its totient is φ = 28647360.

The previous prime is 105394291. The next prime is 105394343. The reversal of 105394296 is 692493501.

It is a super-2 number, since 2×1053942962 = 22215915258671232, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105394291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1786315 + ... + 1786373.

It is an arithmetic number, because the mean of its divisors is an integer number (2016720).

Almost surely, 2105394296 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 105394296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161337600).

105394296 is an abundant number, since it is smaller than the sum of its proper divisors (217280904).

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

105394296 is an equidigital number, since it uses as much as digits as its factorization.

105394296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 105394296 is about 10266.1724123453. The cubic root of 105394296 is about 472.3591898656.

The spelling of 105394296 in words is "one hundred five million, three hundred ninety-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 59 62 84 93 98 118 124 147 168 177 186 196 217 236 248 294 343 354 372 392 413 434 472 588 651 686 708 744 826 868 1029 1176 1239 1302 1372 1416 1519 1652 1736 1829 2058 2401 2478 2604 2744 2891 3038 3304 3658 4116 4557 4802 4956 5208 5487 5782 6076 7203 7316 8232 8673 9114 9604 9912 10633 10974 11564 12152 12803 14406 14632 17346 18228 19208 20237 21266 21948 23128 25606 28812 31899 34692 36456 38409 40474 42532 43896 51212 57624 60711 63798 69384 74431 76818 80948 85064 89621 102424 121422 127596 141659 148862 153636 161896 179242 223293 242844 255192 268863 283318 297724 307272 358484 424977 446586 485688 537726 566636 595448 627347 716968 849954 893172 1075452 1133272 1254694 1699908 1786344 1882041 2150904 2509388 3399816 3764082 4391429 5018776 7528164 8782858 13174287 15056328 17565716 26348574 35131432 52697148 105394296