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106060110534 = 23371973142211
BaseRepresentation
bin110001011000110101…
…1001101101011000110
3101010202111210212002000
41202301223031223012
53214202342014114
6120420124130130
710443161031150
oct1426153155306
9333674725060
10106060110534
1140a86192914
121867b396946
13a003193871
1451c1c39ad0
152b5b297e09
hex18b1acdac6

106060110534 has 64 divisors (see below), whose sum is σ = 269497428480. Its totient is φ = 30287316960.

The previous prime is 106060110529. The next prime is 106060110589. The reversal of 106060110534 is 435011060601.

106060110534 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 601 + 1 + 0 + 53 + 4 = 666.

It is a super-2 number, since 2×1060601105342 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106060110498 and 106060110507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674689 + ... + 816899.

It is an arithmetic number, because the mean of its divisors is an integer number (4210897320).

Almost surely, 2106060110534 is an apocalyptic number.

106060110534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106060110534 is an abundant number, since it is smaller than the sum of its proper divisors (163437317946).

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

106060110534 is a wasteful number, since it uses less digits than its factorization.

106060110534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144202 (or 144196 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106060110534 in words is "one hundred six billion, sixty million, one hundred ten thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1973 3946 5919 11838 13811 17757 27622 35514 41433 53271 82866 106542 124299 142211 248598 284422 372897 426633 745794 853266 995477 1279899 1990954 2559798 2986431 3839697 5972862 7679394 8959293 17918586 26877879 53755758 280582303 561164606 841746909 1683493818 1964076121 2525240727 3928152242 5050481454 5892228363 7575722181 11784456726 15151444362 17676685089 35353370178 53030055267 106060110534