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105240525 = 35213219223
BaseRepresentation
bin1100100010111…
…01011111001101
321100000202212020
412101131133031
5203420144100
614235400353
72415346455
oct621353715
9240022766
10105240525
1154450845
122b2b30b9
1318a59c00
14dd96d65
15938c5a0
hex645d7cd

105240525 has 108 divisors (see below), whose sum is σ = 207495648. Its totient is φ = 46949760.

The previous prime is 105240517. The next prime is 105240547. The reversal of 105240525 is 525042501.

It is a happy number.

It is not a de Polignac number, because 105240525 - 23 = 105240517 is a prime.

It is a super-2 number, since 2×1052405252 = 22151136204551250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105240495 and 105240504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4575664 + ... + 4575686.

It is an arithmetic number, because the mean of its divisors is an integer number (1921256).

Almost surely, 2105240525 is an apocalyptic number.

105240525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105240525 is a deficient number, since it is larger than the sum of its proper divisors (102255123).

105240525 is a wasteful number, since it uses less digits than its factorization.

105240525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 105240525 is about 10258.6804707038. The cubic root of 105240525 is about 472.1293529533.

The spelling of 105240525 in words is "one hundred five million, two hundred forty thousand, five hundred twenty-five".

Divisors: 1 3 5 13 15 19 23 25 39 57 65 69 75 95 115 169 195 247 285 299 325 345 361 437 475 507 575 741 845 897 975 1083 1235 1311 1425 1495 1725 1805 2185 2535 3211 3705 3887 4225 4485 4693 5415 5681 6175 6555 7475 8303 9025 9633 10925 11661 12675 14079 16055 17043 18525 19435 22425 23465 24909 27075 28405 32775 41515 48165 58305 61009 70395 73853 80275 85215 97175 107939 117325 124545 142025 183027 207575 221559 240825 291525 305045 323817 351975 369265 426075 539695 622725 915135 1107795 1403207 1525225 1619085 1846325 2698475 4209621 4575675 5538975 7016035 8095425 21048105 35080175 105240525