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105421530 = 235103109313
BaseRepresentation
bin1100100100010…
…01101011011010
321100100222011010
412102021223122
5203441442110
614243314350
72420032254
oct622115332
9240328133
10105421530
1154564835
122b37b9b6
1318ac1406
1410002cd4
1593c6020
hex6489ada

105421530 has 64 divisors (see below), whose sum is σ = 258635520. Its totient is φ = 27495936.

The previous prime is 105421501. The next prime is 105421531. The reversal of 105421530 is 35124501.

It is a super-2 number, since 2×1054215302 = 22227397975081800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105421497 and 105421506.

It is not an unprimeable number, because it can be changed into a prime (105421531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336654 + ... + 336966.

It is an arithmetic number, because the mean of its divisors is an integer number (4041180).

Almost surely, 2105421530 is an apocalyptic number.

105421530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105421530 is an abundant number, since it is smaller than the sum of its proper divisors (153213990).

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

105421530 is a wasteful number, since it uses less digits than its factorization.

105421530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105421530 is about 10267.4987216946. The cubic root of 105421530 is about 472.3998724034.

The spelling of 105421530 in words is "one hundred five million, four hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 103 109 206 218 309 313 327 515 545 618 626 654 939 1030 1090 1545 1565 1635 1878 3090 3130 3270 4695 9390 11227 22454 32239 33681 34117 56135 64478 67362 68234 96717 102351 112270 161195 168405 170585 193434 204702 322390 336810 341170 483585 511755 967170 1023510 3514051 7028102 10542153 17570255 21084306 35140510 52710765 105421530