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105421531032 = 23322950489239
BaseRepresentation
bin110001000101110011…
…1001110011110011000
3101002010000012122200100
41202023213032132120
53211400402443112
6120232513135400
710421305141266
oct1421347163630
9332100178610
10105421531032
1140788784664
121852155a560
139c30aaab7c
1451610cd436
152b201a92dc
hex188b9ce798

105421531032 has 48 divisors (see below), whose sum is σ = 295362054000. Its totient is φ = 33928767936.

The previous prime is 105421531031. The next prime is 105421531057. The reversal of 105421531032 is 230135124501.

105421531032 is a `hidden beast` number, since 1 + 0 + 542 + 15 + 3 + 103 + 2 = 666.

It is a super-2 number, since 2×1054215310322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105421530987 and 105421531005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105421531031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25242532 + ... + 25246707.

It is an arithmetic number, because the mean of its divisors is an integer number (6153376125).

Almost surely, 2105421531032 is an apocalyptic number.

105421531032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105421531032 is an abundant number, since it is smaller than the sum of its proper divisors (189940522968).

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

105421531032 is a wasteful number, since it uses less digits than its factorization.

105421531032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50489280 (or 50489273 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105421531032 its reverse (230135124501), we get a palindrome (335556655533).

The spelling of 105421531032 in words is "one hundred five billion, four hundred twenty-one million, five hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 50489239 100978478 151467717 201956956 302935434 403913912 454403151 605870868 908806302 1211741736 1464187931 1817612604 2928375862 3635225208 4392563793 5856751724 8785127586 11713503448 13177691379 17570255172 26355382758 35140510344 52710765516 105421531032