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105240235152 = 24313168654223
BaseRepresentation
bin110001000000011001…
…1101000110010010000
3101001122101001212111010
41202000303220302100
53211013000011102
6120202515250520
710413644145003
oct1420063506220
9331571055433
10105240235152
11406a5407358
12184908a9a40
139c023721c0
145144db953a
152b0e2e6d6c
hex1880ce8c90

105240235152 has 40 divisors (see below), whose sum is σ = 292783732864. Its totient is φ = 32381610624.

The previous prime is 105240235109. The next prime is 105240235159. The reversal of 105240235152 is 251532042501.

It is a super-2 number, since 2×1052402351522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105240235159) 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 7 ways as a sum of consecutive naturals, for example, 84326488 + ... + 84327735.

Almost surely, 2105240235152 is an apocalyptic number.

105240235152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105240235152 is an abundant number, since it is smaller than the sum of its proper divisors (187543497712).

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

105240235152 is a wasteful number, since it uses less digits than its factorization.

105240235152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168654247 (or 168654241 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 105240235152 its reverse (251532042501), we get a palindrome (356772277653).

The spelling of 105240235152 in words is "one hundred five billion, two hundred forty million, two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 168654223 337308446 505962669 674616892 1011925338 1349233784 2023850676 2192504899 2698467568 4047701352 4385009798 6577514697 8095402704 8770019596 13155029394 17540039192 26310058788 35080078384 52620117576 105240235152