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105875037473 is a prime number
BaseRepresentation
bin110001010011010100…
…1001101110100100001
3101010021121120011120012
41202212221031310201
53213313002144343
6120345513254305
710435452653432
oct1424651156441
9333247504505
10105875037473
11409a0775777
1218629404395
139ca3a3488a
1451a5421489
152b49ddb718
hex18a6a4dd21

105875037473 has 2 divisors, whose sum is σ = 105875037474. Its totient is φ = 105875037472.

The previous prime is 105875037461. The next prime is 105875037487. The reversal of 105875037473 is 374730578501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59388227809 + 46486809664 = 243697^2 + 215608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105875037473 is a prime.

It is a super-2 number, since 2×1058750374732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105875037673) 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, 52937518736 + 52937518737.

It is an arithmetic number, because the mean of its divisors is an integer number (52937518737).

Almost surely, 2105875037473 is an apocalyptic number.

It is an amenable number.

105875037473 is a deficient number, since it is larger than the sum of its proper divisors (1).

105875037473 is an equidigital number, since it uses as much as digits as its factorization.

105875037473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 105875037473 in words is "one hundred five billion, eight hundred seventy-five million, thirty-seven thousand, four hundred seventy-three".