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105111472357 is a prime number
BaseRepresentation
bin110000111100100100…
…0011100100011100101
3101001022101210001010201
41201321020130203211
53210232014103412
6120142035350501
710410521526163
oct1417110344345
9331271701121
10105111472357
114063975aa21
1218455752431
139bb179a8b8
145131c5c233
152b02d5ee57
hex187921c8e5

105111472357 has 2 divisors, whose sum is σ = 105111472358. Its totient is φ = 105111472356.

The previous prime is 105111472343. The next prime is 105111472381. The reversal of 105111472357 is 753274111501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102511390276 + 2600082081 = 320174^2 + 50991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105111472357 is a prime.

It is a super-2 number, since 2×1051114723572 (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 (105111472387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555736178 + 52555736179.

It is an arithmetic number, because the mean of its divisors is an integer number (52555736179).

Almost surely, 2105111472357 is an apocalyptic number.

It is an amenable number.

105111472357 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111472357 is an equidigital number, since it uses as much as digits as its factorization.

105111472357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 37.

Adding to 105111472357 its reverse (753274111501), we get a palindrome (858385583858).

The spelling of 105111472357 in words is "one hundred five billion, one hundred eleven million, four hundred seventy-two thousand, three hundred fifty-seven".