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105432110451 = 32311123336503
BaseRepresentation
bin110001000110000111…
…1100101010101110011
3101002010202010010220200
41202030033211111303
53211411110013301
6120233532010243
710421464103133
oct1421417452563
9332122103820
10105432110451
1140793750088
1218525000983
139c33043395
145162684ac3
152b21098c86
hex188c3e5573

105432110451 has 24 divisors (see below), whose sum is σ = 157343886336. Its totient is φ = 67959943920.

The previous prime is 105432110437. The next prime is 105432110477. The reversal of 105432110451 is 154011234501.

105432110451 is a `hidden beast` number, since 1 + 0 + 543 + 2 + 110 + 4 + 5 + 1 = 666.

It is not a de Polignac number, because 105432110451 - 214 = 105432094067 is a prime.

It is a super-2 number, since 2×1054321104512 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105432110401) 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 23 ways as a sum of consecutive naturals, for example, 145066 + ... + 481568.

It is an arithmetic number, because the mean of its divisors is an integer number (6555995264).

Almost surely, 2105432110451 is an apocalyptic number.

105432110451 is a deficient number, since it is larger than the sum of its proper divisors (51911775885).

105432110451 is a wasteful number, since it uses less digits than its factorization.

105432110451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337663 (or 337660 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 105432110451 its reverse (154011234501), we get a palindrome (259443344952).

The spelling of 105432110451 in words is "one hundred five billion, four hundred thirty-two million, one hundred ten thousand, four hundred fifty-one".

Divisors: 1 3 9 31 93 279 1123 3369 10107 34813 104439 313317 336503 1009509 3028527 10431593 31294779 93884337 377892869 1133678607 3401035821 11714678939 35144036817 105432110451