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105406230 = 2353513541
BaseRepresentation
bin1100100100001…
…01111100010110
321100100012011110
412102011330112
5203440444410
614243115450
72416636536
oct622057426
9240305143
10105406230
1154554296
122b372b86
1318ab7467
14dddb4c6
1593c1720
hex6485f16

105406230 has 16 divisors (see below), whose sum is σ = 252975024. Its totient is φ = 28108320.

The previous prime is 105406219. The next prime is 105406247. The reversal of 105406230 is 32604501.

It is a happy number.

It is a super-3 number, since 3×1054062303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105406197 and 105406206.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1756741 + ... + 1756800.

It is an arithmetic number, because the mean of its divisors is an integer number (15810939).

Almost surely, 2105406230 is an apocalyptic number.

105406230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105406230 is an abundant number, since it is smaller than the sum of its proper divisors (147568794).

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

105406230 is a wasteful number, since it uses less digits than its factorization.

105406230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513551.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105406230 is about 10266.7536251729. The cubic root of 105406230 is about 472.3770179077.

The spelling of 105406230 in words is "one hundred five million, four hundred six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3513541 7027082 10540623 17567705 21081246 35135410 52703115 105406230