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107369244 = 223223314789
BaseRepresentation
bin1100110011001…
…01001100011100
321111000220220200
412121211030130
5204441303434
614353143500
72442423603
oct631451434
9244026820
10107369244
1155675114
122bb5ab90
1319323ac8
141038ca3a
15965d199
hex666531c

107369244 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 32060160.

The previous prime is 107369239. The next prime is 107369261. The reversal of 107369244 is 442963701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107369199 and 107369208.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1206352 + ... + 1206440.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2107369244 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 107369244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

107369244 is an abundant number, since it is smaller than the sum of its proper divisors (194546916).

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

107369244 is a wasteful number, since it uses less digits than its factorization.

107369244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 107369244 is about 10361.9131438166. The cubic root of 107369244 is about 475.2914097356.

The spelling of 107369244 in words is "one hundred seven million, three hundred sixty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 47 62 69 89 92 93 94 124 138 141 178 186 188 207 267 276 279 282 356 372 414 423 534 558 564 713 801 828 846 1068 1081 1116 1426 1457 1602 1692 2047 2139 2162 2759 2852 2914 3204 3243 4094 4183 4278 4324 4371 5518 5828 6141 6417 6486 8188 8277 8366 8556 8742 9729 11036 12282 12549 12834 12972 13113 16554 16732 17484 18423 19458 24564 24831 25098 25668 26226 33108 33511 36846 37647 38916 49662 50196 52452 63457 67022 73692 75294 96209 99324 100533 126914 129673 134044 150588 190371 192418 201066 253828 259346 288627 301599 380742 384836 389019 402132 518692 571113 577254 603198 761484 778038 865881 1142226 1154508 1167057 1206396 1556076 1731762 2284452 2334114 2982479 3463524 4668228 5964958 8947437 11929916 17894874 26842311 35789748 53684622 107369244