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106485522 = 231113791571
BaseRepresentation
bin1100101100011…
…01011100010010
321102101000200020
412112031130102
5204230014042
614322204310
72432053263
oct626153422
9242330606
10106485522
1155121170
122b7b3696
13190a47b0
14101dc96a
1595363ec
hex658d712

106485522 has 64 divisors (see below), whose sum is σ = 253532160. Its totient is φ = 29390400.

The previous prime is 106485521. The next prime is 106485529. The reversal of 106485522 is 225584601.

It is a super-2 number, since 2×1064855222 = 22678332791224968, 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 (106485521) 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 31 ways as a sum of consecutive naturals, for example, 66997 + ... + 68567.

It is an arithmetic number, because the mean of its divisors is an integer number (3961440).

Almost surely, 2106485522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106485522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126766080).

106485522 is an abundant number, since it is smaller than the sum of its proper divisors (147046638).

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

106485522 is a wasteful number, since it uses less digits than its factorization.

106485522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 106485522 is about 10319.1822350417. The cubic root of 106485522 is about 473.9838250458.

The spelling of 106485522 in words is "one hundred six million, four hundred eighty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1571 1738 2054 2607 3081 3142 4713 5214 6162 9426 11297 17281 20423 22594 33891 34562 40846 51843 61269 67782 103686 122538 124109 224653 248218 372327 449306 673959 744654 1347918 1365199 1613417 2730398 3226834 4095597 4840251 8191194 9680502 17747587 35495174 53242761 106485522