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105247420250 = 25374110713709
BaseRepresentation
bin110001000000100111…
…1000010111101011010
3101001122212120220120212
41202001033002331122
53211021314422000
6120203333251122
710414062211550
oct1420117027532
9331585526525
10105247420250
11406a9474655
1218493193aa2
139c039b973b
145145d29bd0
152b0ec65c35
hex18813c2f5a

105247420250 has 128 divisors (see below), whose sum is σ = 232833968640. Its totient is φ = 34873152000.

The previous prime is 105247420241. The next prime is 105247420261. The reversal of 105247420250 is 52024742501.

It is a super-2 number, since 2×1052474202502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7670396 + ... + 7684104.

It is an arithmetic number, because the mean of its divisors is an integer number (1819015380).

Almost surely, 2105247420250 is an apocalyptic number.

105247420250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105247420250 is an abundant number, since it is smaller than the sum of its proper divisors (127586548390).

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

105247420250 is a wasteful number, since it uses less digits than its factorization.

105247420250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 105247420250 in words is "one hundred five billion, two hundred forty-seven million, four hundred twenty thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 41 50 70 82 107 125 175 205 214 250 287 350 410 535 574 749 875 1025 1070 1435 1498 1750 2050 2675 2870 3745 4387 5125 5350 7175 7490 8774 10250 13375 13709 14350 18725 21935 26750 27418 30709 35875 37450 43870 61418 68545 71750 93625 95963 109675 137090 153545 187250 191926 219350 307090 342725 479815 548375 562069 685450 767725 959630 1096750 1124138 1466863 1535450 1713625 2399075 2810345 2933726 3427250 3838625 3934483 4798150 5620690 7334315 7677250 7868966 10268041 11995375 14051725 14668630 19672415 20536082 23990750 28103450 36671575 39344830 51340205 60141383 70258625 73343150 98362075 102680410 120282766 140517250 183357875 196724150 256701025 300706915 366715750 420989681 491810375 513402050 601413830 841979362 983620750 1283505125 1503534575 2104948405 2567010250 3007069150 4209896810 7517672875 10524742025 15035345750 21049484050 52623710125 105247420250