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105058322358 = 231122317935149
BaseRepresentation
bin110000111010111110…
…1101100011110110110
3101001011200202202001020
41201311331230132312
53210124412303413
6120132500242010
710406305002003
oct1416575543666
9331150682036
10105058322358
1140611758600
121843b9a0306
139ba377b7b2
145128b848aa
152aed361c23
hex1875f6c7b6

105058322358 has 96 divisors (see below), whose sum is σ = 242349408000. Its totient is φ = 30280704960.

The previous prime is 105058322323. The next prime is 105058322377. The reversal of 105058322358 is 853223850501.

It is a happy number.

It is a super-2 number, since 2×1050583223582 (a number of 23 digits) 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2971368 + ... + 3006516.

It is an arithmetic number, because the mean of its divisors is an integer number (2524473000).

Almost surely, 2105058322358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105058322358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121174704000).

105058322358 is an abundant number, since it is smaller than the sum of its proper divisors (137291085642).

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

105058322358 is a wasteful number, since it uses less digits than its factorization.

105058322358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35378 (or 35367 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 105058322358 in words is "one hundred five billion, fifty-eight million, three hundred twenty-two thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 179 242 253 358 363 506 537 726 759 1074 1518 1969 2783 3938 4117 5566 5907 8234 8349 11814 12351 16698 21659 24702 35149 43318 45287 64977 70298 90574 105447 129954 135861 210894 271722 386639 498157 773278 808427 996314 1159917 1494471 1616854 2319834 2425281 2988942 4253029 4850562 6291671 8506058 8892697 12583342 12759087 17785394 18875013 25518174 26678091 37750026 53356182 69208381 97819667 138416762 144708433 195639334 207625143 289416866 293459001 415250286 434125299 586918002 761292191 868250598 1522584382 1591792763 2283876573 3183585526 4567753146 4775378289 9550756578 17509720393 35019440786 52529161179 105058322358