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107113050 = 23352117213
BaseRepresentation
bin1100110001001…
…10101001011010
321110112220111000
412120212221122
5204410104200
614343445430
72440305642
oct630465132
9243486430
10107113050
115550a690
122ba56876
1319264305
1410323522
15960c300
hex6626a5a

107113050 has 96 divisors (see below), whose sum is σ = 322032960. Its totient is φ = 25963200.

The previous prime is 107113009. The next prime is 107113057. The reversal of 107113050 is 50311701.

It is a happy number.

It is a super-2 number, since 2×1071130502 = 22946410960605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107113057) by changing a digit.

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, 11244 + ... + 18456.

It is an arithmetic number, because the mean of its divisors is an integer number (3354510).

Almost surely, 2107113050 is an apocalyptic number.

107113050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107113050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161016480).

107113050 is an abundant number, since it is smaller than the sum of its proper divisors (214919910).

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

107113050 is a wasteful number, since it uses less digits than its factorization.

107113050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 107113050 is about 10349.5434681922. The cubic root of 107113050 is about 474.9130773540.

Adding to 107113050 its reverse (50311701), we get a palindrome (157424751).

The spelling of 107113050 in words is "one hundred seven million, one hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7213 7425 14426 14850 21639 36065 43278 64917 72130 79343 108195 129834 158686 180325 194751 216390 238029 324585 360650 389502 396715 476058 540975 649170 714087 793430 973755 1081950 1190145 1428174 1622925 1947510 1983575 2142261 2380290 3245850 3570435 3967150 4284522 4868775 5950725 7140870 9737550 10711305 11901450 17852175 21422610 35704350 53556525 107113050