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107444700 = 2232521110853
BaseRepresentation
bin1100110011101…
…11100111011100
321111011202102100
412121313213130
5210001212300
614354525100
72443156566
oct631674734
9244152370
10107444700
1155716880
122bb96790
131934c25c
14103ac336
159675700
hex66779dc

107444700 has 108 divisors (see below), whose sum is σ = 367429608. Its totient is φ = 26044800.

The previous prime is 107444693. The next prime is 107444713. The reversal of 107444700 is 7444701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4474 + ... + 15326.

It is an arithmetic number, because the mean of its divisors is an integer number (3402126).

Almost surely, 2107444700 is an apocalyptic number.

107444700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107444700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183714804).

107444700 is an abundant number, since it is smaller than the sum of its proper divisors (259984908).

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

107444700 is a wasteful number, since it uses less digits than its factorization.

107444700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10884 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 107444700 is about 10365.5535308058. The cubic root of 107444700 is about 475.4027240166.

Subtracting from 107444700 its reverse (7444701), we obtain a palindrome (99999999).

The spelling of 107444700 in words is "one hundred seven million, four hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 10853 21706 32559 43412 54265 65118 97677 108530 119383 130236 162795 195354 217060 238766 271325 325590 358149 390708 477532 488385 542650 596915 651180 716298 813975 976770 1074447 1085300 1193830 1432596 1627950 1790745 1953540 2148894 2387660 2441925 2984575 3255900 3581490 4297788 4883850 5372235 5969150 7162980 8953725 9767700 10744470 11938300 17907450 21488940 26861175 35814900 53722350 107444700