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105404145 = 35721113037
BaseRepresentation
bin1100100100001…
…01011011110001
321100100002022020
412102011123301
5203440413040
614243102053
72416630500
oct622053361
9240302266
10105404145
1154552770
122b371929
1318ab6522
14ddda837
1593c0cd0
hex64856f1

105404145 has 48 divisors (see below), whose sum is σ = 214031808. Its totient is φ = 43800960.

The previous prime is 105404129. The next prime is 105404171. The reversal of 105404145 is 541404501.

It is a happy number.

It is not a de Polignac number, because 105404145 - 24 = 105404129 is a prime.

It is a super-2 number, since 2×1054041452 = 22220067566362050, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1567 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (4458996).

Almost surely, 2105404145 is an apocalyptic number.

105404145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105404145 is an abundant number, since it is smaller than the sum of its proper divisors (108627663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105404145 is a wasteful number, since it uses less digits than its factorization.

105404145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070 (or 13063 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105404145 is about 10266.6520833230. The cubic root of 105404145 is about 472.3739032512.

Adding to 105404145 its reverse (541404501), we get a palindrome (646808646).

The spelling of 105404145 in words is "one hundred five million, four hundred four thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 13037 39111 65185 91259 143407 195555 273777 430221 456295 638813 717035 1003849 1368885 1916439 2151105 3011547 3194065 5019245 7026943 9582195 15057735 21080829 35134715 105404145