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105116737357 is a prime number
BaseRepresentation
bin110000111100101110…
…0100001111101001101
3101001022202200112100201
41201321130201331031
53210234341043412
6120142344253501
710410614345062
oct1417134417515
9331282615321
10105116737357
1140641726665
1218457471291
139bb28c2198
14513282cc69
152b0354ee57
hex1879721f4d

105116737357 has 2 divisors, whose sum is σ = 105116737358. Its totient is φ = 105116737356.

The previous prime is 105116737277. The next prime is 105116737361. The reversal of 105116737357 is 753737611501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72924842116 + 32191895241 = 270046^2 + 179421^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116737357 - 223 = 105108348749 is a prime.

It is a super-2 number, since 2×1051167373572 (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 (105116737157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558368678 + 52558368679.

It is an arithmetic number, because the mean of its divisors is an integer number (52558368679).

Almost surely, 2105116737357 is an apocalyptic number.

It is an amenable number.

105116737357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116737357 is an equidigital number, since it uses as much as digits as its factorization.

105116737357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 463050, while the sum is 46.

The spelling of 105116737357 in words is "one hundred five billion, one hundred sixteen million, seven hundred thirty-seven thousand, three hundred fifty-seven".