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105550497 = 3213902141
BaseRepresentation
bin1100100101010…
…01001010100001
321100121112001200
412102221022201
5204010103442
614250151413
72421110253
oct622511241
9240545050
10105550497
1154642718
122b422569
1318b38020
1410037cd3
1593ee34c
hex64a92a1

105550497 has 12 divisors (see below), whose sum is σ = 164189844. Its totient is φ = 64954080.

The previous prime is 105550493. The next prime is 105550531. The reversal of 105550497 is 794055501.

105550497 is a `hidden beast` number, since 10 + 5 + 550 + 4 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 41486481 = 8004^2 + 6441^2 .

It is not a de Polignac number, because 105550497 - 22 = 105550493 is a prime.

It is a super-2 number, since 2×1055504972 = 22281814833894018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450954 + ... + 451187.

It is an arithmetic number, because the mean of its divisors is an integer number (13682487).

Almost surely, 2105550497 is an apocalyptic number.

It is an amenable number.

105550497 is a deficient number, since it is larger than the sum of its proper divisors (58639347).

105550497 is a wasteful number, since it uses less digits than its factorization.

105550497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902160 (or 902157 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105550497 is about 10273.7771535108. Note that the first 3 decimals coincide. The cubic root of 105550497 is about 472.5924300575.

The spelling of 105550497 in words is "one hundred five million, five hundred fifty thousand, four hundred ninety-seven".

Divisors: 1 3 9 13 39 117 902141 2706423 8119269 11727833 35183499 105550497