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105421250 = 2541121741
BaseRepresentation
bin1100100100010…
…01100111000010
321100100221202202
412102021213002
5203441440000
614243313202
72420031404
oct622114702
9240327682
10105421250
1154564600
122b37b802
1318ac124c
1410002b74
1593c5dd5
hex64899c2

105421250 has 120 divisors (see below), whose sum is σ = 235583964. Its totient is φ = 35200000.

The previous prime is 105421223. The next prime is 105421273. The reversal of 105421250 is 52124501.

It can be written as a sum of positive squares in 10 ways, for example, as 17380561 + 88040689 = 4169^2 + 9383^2 .

It is a super-2 number, since 2×1054212502 = 22227279903125000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2571230 + ... + 2571270.

Almost surely, 2105421250 is an apocalyptic number.

105421250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105421250 is an abundant number, since it is smaller than the sum of its proper divisors (130162714).

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

105421250 is a wasteful number, since it uses less digits than its factorization.

105421250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105421250 is about 10267.4850864270. The cubic root of 105421250 is about 472.3994541711.

Adding to 105421250 its reverse (52124501), we get a palindrome (157545751).

The spelling of 105421250 in words is "one hundred five million, four hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 41 50 55 82 85 110 121 125 170 187 205 242 250 275 374 410 425 451 550 605 625 697 850 902 935 1025 1210 1250 1375 1394 1870 2050 2057 2125 2255 2750 3025 3485 4114 4250 4510 4675 4961 5125 6050 6875 6970 7667 9350 9922 10250 10285 10625 11275 13750 15125 15334 17425 20570 21250 22550 23375 24805 25625 30250 34850 38335 46750 49610 51250 51425 56375 75625 76670 84337 87125 102850 112750 116875 124025 151250 168674 174250 191675 233750 248050 257125 281875 383350 421685 435625 514250 563750 620125 843370 871250 958375 1240250 1285625 1916750 2108425 2571250 3100625 4216850 4791875 6201250 9583750 10542125 21084250 52710625 105421250