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106859148 = 223115913721
BaseRepresentation
bin1100101111010…
…00101010001100
321110002000012020
412113220222030
5204323443043
614334210140
72435200464
oct627505214
9243060166
10106859148
1155356950
122b953950
13191a5886
1410298ba4
1595abe83
hex65e8a8c

106859148 has 48 divisors (see below), whose sum is σ = 276635520. Its totient is φ = 31830400.

The previous prime is 106859141. The next prime is 106859149. The reversal of 106859148 is 841958601.

It is a super-2 number, since 2×1068591482 = 22837755022571808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106859141) 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 15 ways as a sum of consecutive naturals, for example, 928 + ... + 14648.

It is an arithmetic number, because the mean of its divisors is an integer number (5763240).

Almost surely, 2106859148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106859148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138317760).

106859148 is an abundant number, since it is smaller than the sum of its proper divisors (169776372).

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

106859148 is a wasteful number, since it uses less digits than its factorization.

106859148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 106859148 is about 10337.2698523353. The cubic root of 106859148 is about 474.5375340016.

The spelling of 106859148 in words is "one hundred six million, eight hundred fifty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 13721 27442 41163 54884 82326 150931 164652 301862 452793 603724 809539 905586 1619078 1811172 2428617 3238156 4857234 8904929 9714468 17809858 26714787 35619716 53429574 106859148