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105525326130 = 2357733685541
BaseRepresentation
bin110001001000111001…
…1001011000100110010
3101002101020111222210020
41202101303023010302
53212103440414010
6120251101544310
710424005321020
oct1422163130462
9332336458706
10105525326130
1140831328434
1218550275096
139c4944cba3
145170bcb710
152b2935d470
hex1891ccb132

105525326130 has 64 divisors (see below), whose sum is σ = 289836188928. Its totient is φ = 24087133440.

The previous prime is 105525326077. The next prime is 105525326131. The reversal of 105525326130 is 31623525501.

It is a happy number.

It is a super-2 number, since 2×1055253261302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105525326091 and 105525326100.

It is not an unprimeable number, because it can be changed into a prime (105525326131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188841 + ... + 496700.

It is an arithmetic number, because the mean of its divisors is an integer number (4528690452).

Almost surely, 2105525326130 is an apocalyptic number.

105525326130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105525326130 is an abundant number, since it is smaller than the sum of its proper divisors (184310862798).

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

105525326130 is a wasteful number, since it uses less digits than its factorization.

105525326130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686291.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 105525326130 in words is "one hundred five billion, five hundred twenty-five million, three hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 733 1466 2199 3665 4398 5131 7330 10262 10995 15393 21990 25655 30786 51310 76965 153930 685541 1371082 2056623 3427705 4113246 4798787 6855410 9597574 10283115 14396361 20566230 23993935 28792722 47987870 71981805 143963610 502501553 1005003106 1507504659 2512507765 3015009318 3517510871 5025015530 7035021742 7537523295 10552532613 15075046590 17587554355 21105065226 35175108710 52762663065 105525326130