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105435535501 is a prime number
BaseRepresentation
bin110001000110001110…
…0101001100010001101
3101002010222120011012101
41202030130221202031
53211412444114001
6120234133235101
710421535156532
oct1421434514215
9332128504171
10105435535501
114079567a3aa
1218526192a91
139c3397233a
145162cd6d89
152b21523a01
hex188c72988d

105435535501 has 2 divisors, whose sum is σ = 105435535502. Its totient is φ = 105435535500.

The previous prime is 105435535489. The next prime is 105435535511. The reversal of 105435535501 is 105535534501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105430739401 + 4796100 = 324701^2 + 2190^2 .

It is an emirp because it is prime and its reverse (105535534501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105435535501 is a prime.

It is a super-2 number, since 2×1054355355012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105435535511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717767750 + 52717767751.

It is an arithmetic number, because the mean of its divisors is an integer number (52717767751).

Almost surely, 2105435535501 is an apocalyptic number.

It is an amenable number.

105435535501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435535501 is an equidigital number, since it uses as much as digits as its factorization.

105435535501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 105435535501 in words is "one hundred five billion, four hundred thirty-five million, five hundred thirty-five thousand, five hundred one".