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106654344 = 23329293523
BaseRepresentation
bin1100101101101…
…10101010001000
321102200121020220
412112312222020
5204300414334
614325550040
72433355416
oct626665210
9242617226
10106654344
1155226a95
122b875320
13191335a4
14102442b6
15956b449
hex65b6a88

106654344 has 64 divisors (see below), whose sum is σ = 277300800. Its totient is φ = 34142976.

The previous prime is 106654343. The next prime is 106654351. The reversal of 106654344 is 443456601.

It is a super-2 number, since 2×1066543442 = 22750298188140672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106654343) 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, 203667 + ... + 204189.

It is an arithmetic number, because the mean of its divisors is an integer number (4332825).

Almost surely, 2106654344 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 106654344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138650400).

106654344 is an abundant number, since it is smaller than the sum of its proper divisors (170646456).

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

106654344 is a wasteful number, since it uses less digits than its factorization.

106654344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 106654344 is about 10327.3590041210. The cubic root of 106654344 is about 474.2341772243.

The spelling of 106654344 in words is "one hundred six million, six hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 293 348 523 586 696 879 1046 1172 1569 1758 2092 2344 3138 3516 4184 6276 7032 8497 12552 15167 16994 25491 30334 33988 45501 50982 60668 67976 91002 101964 121336 153239 182004 203928 306478 364008 459717 612956 919434 1225912 1838868 3677736 4443931 8887862 13331793 17775724 26663586 35551448 53327172 106654344