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105555557 is a prime number
BaseRepresentation
bin1100100101010…
…10011001100101
321100121210000002
412102222121211
5204010234212
614250231045
72421131102
oct622523145
9240553002
10105555557
11546464a8
122b425485
1318b3a413
1410039aa9
159400ac2
hex64aa665

105555557 has 2 divisors, whose sum is σ = 105555558. Its totient is φ = 105555556.

The previous prime is 105555553. The next prime is 105555581. The reversal of 105555557 is 755555501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95277121 + 10278436 = 9761^2 + 3206^2 .

It is a cyclic number.

It is not a de Polignac number, because 105555557 - 22 = 105555553 is a prime.

It is a super-2 number, since 2×1055555572 = 22283951227160498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105555557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105555553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777778 + 52777779.

It is an arithmetic number, because the mean of its divisors is an integer number (52777779).

Almost surely, 2105555557 is an apocalyptic number.

It is an amenable number.

105555557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555557 is an equidigital number, since it uses as much as digits as its factorization.

105555557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 109375, while the sum is 38.

The square root of 105555557 is about 10274.0234085776. The cubic root of 105555557 is about 472.5999818283.

The spelling of 105555557 in words is "one hundred five million, five hundred fifty-five thousand, five hundred fifty-seven".