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105297109370 = 25172397313887
BaseRepresentation
bin110001000010000110…
…0100110000101111010
3101001210100002101020122
41202010030212011322
53211122024444440
6120212310253242
710415234443025
oct1420414460572
9331710071218
10105297109370
1140724522842
12184a7957222
139c1109649b
14514c7821bc
152b142cd7b5
hex188432617a

105297109370 has 128 divisors (see below), whose sum is σ = 212483367936. Its totient is φ = 37364760576.

The previous prime is 105297109369. The next prime is 105297109417. The reversal of 105297109370 is 73901792501.

It is a super-2 number, since 2×1052971093702 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118711067 + ... + 118711953.

It is an arithmetic number, because the mean of its divisors is an integer number (1660026312).

Almost surely, 2105297109370 is an apocalyptic number.

105297109370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105297109370 is an abundant number, since it is smaller than the sum of its proper divisors (107186258566).

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

105297109370 is a wasteful number, since it uses less digits than its factorization.

105297109370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 119070, while the sum is 44.

The spelling of 105297109370 in words is "one hundred five billion, two hundred ninety-seven million, one hundred nine thousand, three hundred seventy".

Divisors: 1 2 5 10 17 23 34 46 85 97 115 170 194 230 313 391 485 626 782 887 970 1565 1649 1774 1955 2231 3130 3298 3910 4435 4462 5321 7199 8245 8870 10642 11155 14398 15079 16490 20401 22310 26605 30158 30361 35995 37927 40802 53210 60722 71990 75395 75854 86039 102005 122383 150790 151805 172078 189635 204010 244766 277631 303610 346817 379270 430195 516137 555262 611915 693634 698303 860390 1032274 1223830 1388155 1396606 1462663 1734085 1978897 2580685 2776310 2925326 3468170 3491515 3957794 4719727 5161370 6385513 6983030 7313315 9439454 9894485 11871151 12771026 14626630 19788970 23598635 23742302 26930207 31927565 33641249 47197270 53860414 59355755 63855130 67282498 108553721 118711510 134651035 168206245 217107442 269302070 336412490 457813519 542768605 619394761 915627038 1085537210 1238789522 2289067595 3096973805 4578135190 6193947610 10529710937 21059421874 52648554685 105297109370