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106728102 = 232133114713
BaseRepresentation
bin1100101110010…
…00101010100110
321102211100102200
412113020222212
5204310244402
614331315330
72434113435
oct627105246
9242740380
10106728102
1155277448
122b8abb46
131915b030
141026311c
15958321c
hex65c8aa6

106728102 has 48 divisors (see below), whose sum is σ = 257083008. Its totient is φ = 31777920.

The previous prime is 106728067. The next prime is 106728103. The reversal of 106728102 is 201827601.

It is a super-2 number, since 2×1067281022 = 22781775513044808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106728103) 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 23 ways as a sum of consecutive naturals, for example, 103 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (5355896).

Almost surely, 2106728102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106728102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128541504).

106728102 is an abundant number, since it is smaller than the sum of its proper divisors (150354906).

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

106728102 is a wasteful number, since it uses less digits than its factorization.

106728102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106728102 is about 10330.9293870397. The cubic root of 106728102 is about 474.3434726765.

The spelling of 106728102 in words is "one hundred six million, seven hundred twenty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7254 14713 29426 44139 88278 132417 191269 264834 382538 456103 573807 912206 1147614 1368309 1721421 2736618 3442842 4104927 5929339 8209854 11858678 17788017 35576034 53364051 106728102