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106817022 = 23313592579
BaseRepresentation
bin1100101110111…
…10010111111110
321102222212102000
412113132113332
5204321121042
614333243130
72434633614
oct627362776
9242885360
10106817022
1155328234
122b9334a6
131918c650
14102876b4
15959e74c
hex65de5fe

106817022 has 64 divisors (see below), whose sum is σ = 260064000. Its totient is φ = 32297184.

The previous prime is 106817021. The next prime is 106817023. The reversal of 106817022 is 220718601.

It is an interprime number because it is at equal distance from previous prime (106817021) and next prime (106817023).

It is a super-2 number, since 2×1068170222 = 22819752377896968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106817021) by changing a digit.

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, 40129 + ... + 42707.

It is an arithmetic number, because the mean of its divisors is an integer number (4063500).

Almost surely, 2106817022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106817022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130032000).

106817022 is an abundant number, since it is smaller than the sum of its proper divisors (153246978).

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

106817022 is a wasteful number, since it uses less digits than its factorization.

106817022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2656 counting only the distinct ones).

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

The square root of 106817022 is about 10335.2320728661. The cubic root of 106817022 is about 474.4751684298.

The spelling of 106817022 in words is "one hundred six million, eight hundred seventeen thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 2579 3186 4602 5158 6903 7737 13806 15474 20709 23211 33527 41418 46422 67054 69633 100581 139266 152161 201162 301743 304322 456483 603486 905229 912966 1369449 1810458 1978093 2738898 3956186 4108347 5934279 8216694 11868558 17802837 35605674 53408511 106817022