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105234311304435 = 3561217163529603
BaseRepresentation
bin10111111011010111000101…
…101111100101010011110011
3111210121022011002111012102110
4113323113011233211103303
5102243124332143220220
61011451550351420403
731110633223135065
oct2773270557452363
9453538132435373
10105234311304435
1130592691307785
12b977145b24703
134694725b6b181
141bdb521511735
15c275bc807be0
hex5fb5c5be54f3

105234311304435 has 32 divisors (see below), whose sum is σ = 171136253507328. Its totient is φ = 55204526171520.

The previous prime is 105234311304403. The next prime is 105234311304443. The reversal of 105234311304435 is 534403113432501.

It is not a de Polignac number, because 105234311304435 - 25 = 105234311304403 is a prime.

It is a super-2 number, since 2×1052343113044352 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105234311304393 and 105234311304402.

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, 198439344 + ... + 198968946.

It is an arithmetic number, because the mean of its divisors is an integer number (5348007922104).

Almost surely, 2105234311304435 is an apocalyptic number.

105234311304435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105234311304435 is a deficient number, since it is larger than the sum of its proper divisors (65901942202893).

105234311304435 is a wasteful number, since it uses less digits than its factorization.

105234311304435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746835.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 105234311304435 its reverse (534403113432501), we get a palindrome (639637424736936).

The spelling of 105234311304435 in words is "one hundred five trillion, two hundred thirty-four billion, three hundred eleven million, three hundred four thousand, four hundred thirty-five".

Divisors: 1 3 5 15 61 183 305 915 217163 529603 651489 1085815 1588809 2648015 3257445 7944045 13246943 32305783 39740829 66234715 96917349 161528915 198704145 484586745 115010176289 345030528867 575050881445 1725152644335 7015620753629 21046862260887 35078103768145 105234311304435