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105134676 = 22319479811
BaseRepresentation
bin1100100010000…
…11101001010100
321022211101122220
412101003221110
5203403302201
614233222340
72414426043
oct621035124
9238741586
10105134676
1154389269
122b2619b0
1318a2098a
14dd6a55a
15936b036
hex6443a54

105134676 has 48 divisors (see below), whose sum is σ = 263746560. Its totient is φ = 32490720.

The previous prime is 105134639. The next prime is 105134693. The reversal of 105134676 is 676431501.

It is a super-2 number, since 2×1051346762 = 22106600195249952, 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, 5811 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (5494720).

Almost surely, 2105134676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105134676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131873280).

105134676 is an abundant number, since it is smaller than the sum of its proper divisors (158611884).

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

105134676 is a wasteful number, since it uses less digits than its factorization.

105134676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105134676 is about 10253.5201760176. The cubic root of 105134676 is about 471.9710134933.

The spelling of 105134676 in words is "one hundred five million, one hundred thirty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 9811 10716 19622 29433 39244 58866 117732 186409 372818 461117 559227 745636 922234 1118454 1383351 1844468 2236908 2766702 5533404 8761223 17522446 26283669 35044892 52567338 105134676