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106170102 = 23102931
BaseRepresentation
bin1100101010000…
…00011011110110
321101210000000000
412111000123312
5204134420402
614311332130
72426300553
oct625003366
9241700000
10106170102
1154a26195
122b681046
1318cc405c
1410159a2a
1594c2c1c
hex65406f6

106170102 has 88 divisors (see below), whose sum is σ = 255090240. Its totient is φ = 33067440.

The previous prime is 106170101. The next prime is 106170109. The reversal of 106170102 is 201071601.

It is a super-2 number, since 2×1061701022 = 22544181117380808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106170101) 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 43 ways as a sum of consecutive naturals, for example, 3424827 + ... + 3424857.

Almost surely, 2106170102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106170102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127545120).

106170102 is an abundant number, since it is smaller than the sum of its proper divisors (148920138).

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

106170102 is an frugal number, since it uses more digits than its factorization.

106170102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 106170102 is about 10303.8877128975. The cubic root of 106170102 is about 473.5153675079.

The spelling of 106170102 in words is "one hundred six million, one hundred seventy thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 81 87 93 162 174 186 243 261 279 486 522 558 729 783 837 899 1458 1566 1674 1798 2187 2349 2511 2697 4374 4698 5022 5394 6561 7047 7533 8091 13122 14094 15066 16182 19683 21141 22599 24273 39366 42282 45198 48546 59049 63423 67797 72819 118098 126846 135594 145638 190269 203391 218457 380538 406782 436914 570807 610173 655371 1141614 1220346 1310742 1712421 1830519 1966113 3424842 3661038 3932226 5898339 11796678 17695017 35390034 53085051 106170102