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105454141 = 132623989
BaseRepresentation
bin1100100100100…
…01101000111101
321100102121212221
412102101220331
5203444013031
614244125341
72420226322
oct622215075
9240377787
10105454141
1154587291
122b396851
1318b03200
1410010b49
1593d0a11
hex6491a3d

105454141 has 6 divisors (see below), whose sum is σ = 114190170. Its totient is φ = 97342128.

The previous prime is 105454133. The next prime is 105454183. The reversal of 105454141 is 141454501.

It can be written as a sum of positive squares in 3 ways, for example, as 14175225 + 91278916 = 3765^2 + 9554^2 .

It is not a de Polignac number, because 105454141 - 23 = 105454133 is a prime.

It is a super-2 number, since 2×1054541412 = 22241151708095762, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105454841) 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 5 ways as a sum of consecutive naturals, for example, 311826 + ... + 312163.

It is an arithmetic number, because the mean of its divisors is an integer number (19031695).

Almost surely, 2105454141 is an apocalyptic number.

It is an amenable number.

105454141 is a deficient number, since it is larger than the sum of its proper divisors (8736029).

105454141 is an equidigital number, since it uses as much as digits as its factorization.

105454141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624015 (or 624002 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 105454141 is about 10269.0866682485. The cubic root of 105454141 is about 472.4485779636.

The spelling of 105454141 in words is "one hundred five million, four hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 13 169 623989 8111857 105454141