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105478814137 is a prime number
BaseRepresentation
bin110001000111100000…
…1101111100110111001
3101002020222222221022211
41202033001233212321
53212010034023022
6120242321015121
710422602061364
oct1421701574671
9332228887284
10105478814137
114080804a274
12185387844a1
139c3c9162b8
1451689610db
152b25221e77
hex188f06f9b9

105478814137 has 2 divisors, whose sum is σ = 105478814138. Its totient is φ = 105478814136.

The previous prime is 105478814113. The next prime is 105478814141. The reversal of 105478814137 is 731418874501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79831111936 + 25647702201 = 282544^2 + 160149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105478814137 is a prime.

It is a super-2 number, since 2×1054788141372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105478814437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52739407068 + 52739407069.

It is an arithmetic number, because the mean of its divisors is an integer number (52739407069).

Almost surely, 2105478814137 is an apocalyptic number.

It is an amenable number.

105478814137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105478814137 is an equidigital number, since it uses as much as digits as its factorization.

105478814137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 752640, while the sum is 49.

The spelling of 105478814137 in words is "one hundred five billion, four hundred seventy-eight million, eight hundred fourteen thousand, one hundred thirty-seven".