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106742922 = 231113472647
BaseRepresentation
bin1100101110011…
…00010010001010
321102212002202120
412113030102022
5204311233142
614331512110
72434204566
oct627142212
9242762676
10106742922
11552875a0
122b8b8636
13191649c0
14102686a6
1595877ec
hex65cc48a

106742922 has 64 divisors (see below), whose sum is σ = 256241664. Its totient is φ = 29211840.

The previous prime is 106742873. The next prime is 106742927. The reversal of 106742922 is 229247601.

It is a super-2 number, since 2×1067429222 = 22788102794196168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106742927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39003 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (4003776).

Almost surely, 2106742922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106742922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128120832).

106742922 is an abundant number, since it is smaller than the sum of its proper divisors (149498742).

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

106742922 is a wasteful number, since it uses less digits than its factorization.

106742922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106742922 is about 10331.6466257804. The cubic root of 106742922 is about 474.3654270471.

The spelling of 106742922 in words is "one hundred six million, seven hundred forty-two thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 2647 3102 3666 5294 6721 7941 13442 15882 20163 29117 34411 40326 58234 68822 87351 103233 124409 174702 206466 248818 373227 378521 746454 757042 1135563 1368499 1617317 2271126 2736998 3234634 4105497 4851951 8210994 9703902 17790487 35580974 53371461 106742922