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105406231 = 731617963
BaseRepresentation
bin1100100100001…
…01111100010111
321100100012011111
412102011330113
5203440444411
614243115451
72416636540
oct622057427
9240305144
10105406231
1154554297
122b372b87
1318ab7468
14dddb4c7
1593c1721
hex6485f17

105406231 has 16 divisors (see below), whose sum is σ = 126404608. Its totient is φ = 85989600.

The previous prime is 105406219. The next prime is 105406247. The reversal of 105406231 is 132604501.

It is a cyclic number.

It is not a de Polignac number, because 105406231 - 219 = 104881943 is a prime.

It is a super-3 number, since 3×1054062313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9256 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (7900288).

Almost surely, 2105406231 is an apocalyptic number.

105406231 is a deficient number, since it is larger than the sum of its proper divisors (20998377).

105406231 is an equidigital number, since it uses as much as digits as its factorization.

105406231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8062.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105406231 is about 10266.7536738737. The cubic root of 105406231 is about 472.3770194015.

The spelling of 105406231 in words is "one hundred five million, four hundred six thousand, two hundred thirty-one".

Divisors: 1 7 31 61 217 427 1891 7963 13237 55741 246853 485743 1727971 3400201 15058033 105406231