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107168061 = 371113127281
BaseRepresentation
bin1100110001101…
…00000100111101
321110122200221110
412120310010331
5204413334221
614344552233
72440625220
oct630640475
9243580843
10107168061
1155547a50
122ba82679
1319283370
14103395b7
15961d776
hex663413d

107168061 has 64 divisors (see below), whose sum is σ = 194052096. Its totient is φ = 50803200.

The previous prime is 107168059. The next prime is 107168069. The reversal of 107168061 is 160861701.

It is a happy number.

It is not a de Polignac number, because 107168061 - 21 = 107168059 is a prime.

It is a super-2 number, since 2×1071680612 = 22969986596999442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107168069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381241 + ... + 381521.

It is an arithmetic number, because the mean of its divisors is an integer number (3032064).

Almost surely, 2107168061 is an apocalyptic number.

107168061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107168061 is a deficient number, since it is larger than the sum of its proper divisors (86884035).

107168061 is a wasteful number, since it uses less digits than its factorization.

107168061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 107168061 is about 10352.2007805104. The cubic root of 107168061 is about 474.9943652148.

The spelling of 107168061 in words is "one hundred seven million, one hundred sixty-eight thousand, sixty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 127 143 231 273 281 381 429 843 889 1001 1397 1651 1967 2667 3003 3091 3653 4191 4953 5901 9273 9779 10959 11557 18161 21637 25571 29337 34671 35687 40183 54483 64911 76713 107061 120549 127127 249809 281281 381381 392557 463931 749427 843843 1177671 1391793 2747899 3247517 5103241 8243697 9742551 15309723 35722687 107168061