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105141434405 = 5715719797127
BaseRepresentation
bin110000111101011101…
…0101111100000100101
3101001101111011021100012
41201322322233200211
53210312201400110
6120145025500005
710411334306120
oct1417272574045
9331344137305
10105141434405
1140654664947
12184637a1605
139bb7a5b517
145135c1b3b7
152b057cc905
hex187aeaf825

105141434405 has 32 divisors (see below), whose sum is σ = 145850512896. Its totient is φ = 71273389824.

The previous prime is 105141434381. The next prime is 105141434441. The reversal of 105141434405 is 504434141501.

It is not a de Polignac number, because 105141434405 - 28 = 105141434149 is a prime.

It is a super-2 number, since 2×1051414344052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033952 + ... + 1131078.

It is an arithmetic number, because the mean of its divisors is an integer number (4557828528).

Almost surely, 2105141434405 is an apocalyptic number.

It is an amenable number.

105141434405 is a deficient number, since it is larger than the sum of its proper divisors (40709078491).

105141434405 is a wasteful number, since it uses less digits than its factorization.

105141434405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97493.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 105141434405 its reverse (504434141501), we get a palindrome (609575575906).

The spelling of 105141434405 in words is "one hundred five billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred five".

Divisors: 1 5 7 35 157 197 785 985 1099 1379 5495 6895 30929 97127 154645 216503 485635 679889 1082515 3399445 15248939 19134019 76244695 95670095 106742573 133938133 533712865 669690665 3004040983 15020204915 21028286881 105141434405