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105112323 = 36236269
BaseRepresentation
bin1100100001111…
…10001100000011
321022210021000000
412100332030003
5203402043243
614232531043
72414303631
oct620761403
9238707000
10105112323
1154373498
122b250a83
1318a13754
14dd62351
1593645d3
hex643e303

105112323 has 28 divisors (see below), whose sum is σ = 164474640. Its totient is φ = 67017456.

The previous prime is 105112307. The next prime is 105112349. The reversal of 105112323 is 323211501.

It is not a de Polignac number, because 105112323 - 24 = 105112307 is a prime.

It is a super-2 number, since 2×1051123232 = 22097200892912658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105112296 and 105112305.

It is not an unprimeable number, because it can be changed into a prime (105112363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13633 + ... + 19901.

Almost surely, 2105112323 is an apocalyptic number.

105112323 is a deficient number, since it is larger than the sum of its proper divisors (59362317).

105112323 is an frugal number, since it uses more digits than its factorization.

105112323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105112323 is about 10252.4301021758. The cubic root of 105112323 is about 471.9375620631.

Adding to 105112323 its reverse (323211501), we get a palindrome (428323824).

The spelling of 105112323 in words is "one hundred five million, one hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 9 23 27 69 81 207 243 621 729 1863 5589 6269 16767 18807 56421 144187 169263 432561 507789 1297683 1523367 3893049 4570101 11679147 35037441 105112323