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105454053 = 3289173761
BaseRepresentation
bin1100100100100…
…01100111100101
321100102121202200
412102101213211
5203444012203
614244125113
72420226135
oct622214745
9240377680
10105454053
1154587211
122b396799
1318b03163
1410010ac5
1593d09a3
hex64919e5

105454053 has 24 divisors (see below), whose sum is σ = 155127960. Its totient is φ = 69020160.

The previous prime is 105454051. The next prime is 105454061. The reversal of 105454053 is 350454501.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 104407524 = 1023^2 + 10218^2 .

It is not a de Polignac number, because 105454053 - 21 = 105454051 is a prime.

It is a super-2 number, since 2×1054540532 = 22241114588253618, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105454051) 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 in 23 ways as a sum of consecutive naturals, for example, 138193 + ... + 138953.

It is an arithmetic number, because the mean of its divisors is an integer number (6463665).

Almost surely, 2105454053 is an apocalyptic number.

It is an amenable number.

105454053 is a deficient number, since it is larger than the sum of its proper divisors (49673907).

105454053 is a wasteful number, since it uses less digits than its factorization.

105454053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105454053 is about 10269.0823835433. The cubic root of 105454053 is about 472.4484465463.

The spelling of 105454053 in words is "one hundred five million, four hundred fifty-four thousand, fifty-three".

Divisors: 1 3 9 89 173 267 519 761 801 1557 2283 6849 15397 46191 67729 131653 138573 203187 394959 609561 1184877 11717117 35151351 105454053