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105962694241 is a prime number
BaseRepresentation
bin110001010101111011…
…1100110011001100001
3101010111201111121001011
41202223313212121201
53214002422203431
6120402324140521
710440566016505
oct1425367463141
9333451447034
10105962694241
1140a361a6588
1218652837741
139cb8c460a1
1451b2d1c305
152b52953cb1
hex18abde6661

105962694241 has 2 divisors, whose sum is σ = 105962694242. Its totient is φ = 105962694240.

The previous prime is 105962694209. The next prime is 105962694259. The reversal of 105962694241 is 142496269501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104407180641 + 1555513600 = 323121^2 + 39440^2 .

It is a cyclic number.

It is not a de Polignac number, because 105962694241 - 25 = 105962694209 is a prime.

It is a super-2 number, since 2×1059626942412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105962694041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52981347120 + 52981347121.

It is an arithmetic number, because the mean of its divisors is an integer number (52981347121).

Almost surely, 2105962694241 is an apocalyptic number.

It is an amenable number.

105962694241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105962694241 is an equidigital number, since it uses as much as digits as its factorization.

105962694241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 105962694241 in words is "one hundred five billion, nine hundred sixty-two million, six hundred ninety-four thousand, two hundred forty-one".