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105371442 = 23411292039
BaseRepresentation
bin1100100011111…
…01011100110010
321100021102110000
412101331130302
5203433341232
614242250430
72416433241
oct621753462
9240242400
10105371442
1154530140
122b356a16
1318aa4687
14ddcc958
1593b627c
hex647d732

105371442 has 80 divisors (see below), whose sum is σ = 266587200. Its totient is φ = 30814560.

The previous prime is 105371429. The next prime is 105371443. The reversal of 105371442 is 244173501.

It is a super-2 number, since 2×1053714422 = 22206281578318728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105371443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50659 + ... + 52697.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2105371442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105371442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293600).

105371442 is an abundant number, since it is smaller than the sum of its proper divisors (161215758).

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

105371442 is a wasteful number, since it uses less digits than its factorization.

105371442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105371442 is about 10265.0592789326. The cubic root of 105371442 is about 472.3250448258.

The spelling of 105371442 in words is "one hundred five million, three hundred seventy-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 522 594 638 783 891 957 1566 1782 1914 2039 2349 2871 4078 4698 5742 6117 8613 12234 17226 18351 22429 25839 36702 44858 51678 55053 59131 67287 110106 118262 134574 165159 177393 201861 330318 354786 403722 532179 605583 650441 1064358 1211166 1300882 1596537 1816749 1951323 3193074 3633498 3902646 4789611 5853969 9579222 11707938 17561907 35123814 52685721 105371442