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105540025049 is a prime number
BaseRepresentation
bin110001001001010101…
…1001111101011011001
3101002102021011202220122
41202102223033223121
53212121221300144
6120252345003025
710424244261014
oct1422253175331
9332367152818
10105540025049
11408396579a8
1218555183475
139c4c4c8484
145172b3637b
152b2a7b37ee
hex1892acfad9

105540025049 has 2 divisors, whose sum is σ = 105540025050. Its totient is φ = 105540025048.

The previous prime is 105540025027. The next prime is 105540025069. The reversal of 105540025049 is 940520045501.

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., 89907024025 + 15633001024 = 299845^2 + 125032^2 .

It is a cyclic number.

It is not a de Polignac number, because 105540025049 - 212 = 105540020953 is a prime.

It is a super-2 number, since 2×1055400250492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105540025069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770012524 + 52770012525.

It is an arithmetic number, because the mean of its divisors is an integer number (52770012525).

Almost surely, 2105540025049 is an apocalyptic number.

It is an amenable number.

105540025049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540025049 is an equidigital number, since it uses as much as digits as its factorization.

105540025049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 105540025049 in words is "one hundred five billion, five hundred forty million, twenty-five thousand, forty-nine".