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107345124 = 223229229449
BaseRepresentation
bin1100110010111…
…11010011100100
321110222200211100
412121133103210
5204440020444
614352440100
72442263355
oct631372344
9243880740
10107345124
1155658a87
122bb49030
1319315b33
1410383d2c
159655e69
hex665f4e4

107345124 has 72 divisors (see below), whose sum is σ = 282555000. Its totient is φ = 34320384.

The previous prime is 107345111. The next prime is 107345129. The reversal of 107345124 is 421543701.

It can be written as a sum of positive squares in 4 ways, for example, as 46785600 + 60559524 = 6840^2 + 7782^2 .

It is not an unprimeable number, because it can be changed into a prime (107345129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238852 + ... + 239300.

It is an arithmetic number, because the mean of its divisors is an integer number (3924375).

Almost surely, 2107345124 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 107345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141277500).

107345124 is an abundant number, since it is smaller than the sum of its proper divisors (175209876).

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

107345124 is a wasteful number, since it uses less digits than its factorization.

107345124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107345124 is about 10360.7492007094. The cubic root of 107345124 is about 475.2558164039.

Adding to 107345124 its reverse (421543701), we get a palindrome (528888825).

The spelling of 107345124 in words is "one hundred seven million, three hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 229 261 348 449 458 522 687 898 916 1044 1347 1374 1796 2061 2694 2748 4041 4122 5388 6641 8082 8244 13021 13282 16164 19923 26042 26564 39063 39846 52084 59769 78126 79692 102821 117189 119538 156252 205642 234378 239076 308463 411284 468756 616926 925389 1233852 1850778 2981809 3701556 5963618 8945427 11927236 17890854 26836281 35781708 53672562 107345124