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105404052 = 223135771171
BaseRepresentation
bin1100100100001…
…01011010010100
321100100002011210
412102011122110
5203440412202
614243101420
72416630305
oct622053224
9240302153
10105404052
1154552696
122b371870
1318ab6480
14ddda7ac
1593c0c6c
hex6485694

105404052 has 48 divisors (see below), whose sum is σ = 265547072. Its totient is φ = 32348160.

The previous prime is 105404023. The next prime is 105404087. The reversal of 105404052 is 250404501.

It is a super-2 number, since 2×1054040522 = 22220028356037408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89427 + ... + 90597.

Almost surely, 2105404052 is an apocalyptic number.

105404052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105404052 is an abundant number, since it is smaller than the sum of its proper divisors (160143020).

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

105404052 is a wasteful number, since it uses less digits than its factorization.

105404052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105404052 is about 10266.6475540948. The cubic root of 105404052 is about 472.3737643232.

Adding to 105404052 its reverse (250404501), we get a palindrome (355808553).

The spelling of 105404052 in words is "one hundred five million, four hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 577 1154 1171 1731 2308 2342 3462 3513 4684 6924 7026 7501 14052 15002 15223 22503 30004 30446 45006 45669 60892 90012 91338 182676 675667 1351334 2027001 2702668 4054002 8108004 8783671 17567342 26351013 35134684 52702026 105404052