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107910544 = 2474532
BaseRepresentation
bin1100110111010…
…01010110010000
321112001102102211
412123221112100
5210111114134
614412521504
72450140000
oct633512620
9245042384
10107910544
1155a04875
1230180294
13194832c1
1410490000
159718764
hex66e9590

107910544 has 75 divisors (see below), whose sum is σ = 248597153. Its totient is φ = 45374784.

The previous prime is 107910529. The next prime is 107910553. The reversal of 107910544 is 445019701.

The square root of 107910544 is 10388.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 30118144 = 8820^2 + 5488^2 .

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 2036022 + ... + 2036074.

Almost surely, 2107910544 is an apocalyptic number.

107910544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107910544 is the 10388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107910544

107910544 is an abundant number, since it is smaller than the sum of its proper divisors (140686609).

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

107910544 is an frugal number, since it uses more digits than its factorization.

107910544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The cubic root of 107910544 is about 476.0887954300.

The spelling of 107910544 in words is "one hundred seven million, nine hundred ten thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 371 392 424 686 742 784 848 1372 1484 2401 2597 2744 2809 2968 4802 5194 5488 5618 5936 9604 10388 11236 18179 19208 19663 20776 22472 36358 38416 39326 41552 44944 72716 78652 127253 137641 145432 157304 254506 275282 290864 314608 509012 550564 963487 1018024 1101128 1926974 2036048 2202256 3853948 6744409 7707896 13488818 15415792 26977636 53955272 107910544