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103437664 = 25112910133
BaseRepresentation
bin1100010101001…
…01010101100000
321012122011210121
412022211111200
5202440001124
614133010024
72364130351
oct612452540
9235564717
10103437664
115342a280
122a783914
1318578425
14da47d28
1591332e4
hex62a5560

103437664 has 48 divisors (see below), whose sum is σ = 229839120. Its totient is φ = 45391360.

The previous prime is 103437643. The next prime is 103437703. The reversal of 103437664 is 466734301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5142 + ... + 15274.

It is an arithmetic number, because the mean of its divisors is an integer number (4788315).

Almost surely, 2103437664 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 103437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114919560).

103437664 is an abundant number, since it is smaller than the sum of its proper divisors (126401456).

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

103437664 is a wasteful number, since it uses less digits than its factorization.

103437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 103437664 is about 10170.4308659958. The cubic root of 103437664 is about 469.4178154422.

The spelling of 103437664 in words is "one hundred three million, four hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10133 10208 20266 40532 81064 111463 162128 222926 293857 324256 445852 587714 891704 1175428 1783408 2350856 3232427 3566816 4701712 6464854 9403424 12929708 25859416 51718832 103437664