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107785300 = 22527221997
BaseRepresentation
bin1100110110010…
…10110001010100
321111211001122011
412123022301110
5210043112200
614410114004
72446105600
oct633126124
9244731564
10107785300
1155929767
123011b904
131943b2ac
141045a500
1596e15ba
hex66cac54

107785300 has 54 divisors (see below), whose sum is σ = 272093262. Its totient is φ = 36953280.

The previous prime is 107785297. The next prime is 107785339. The reversal of 107785300 is 3587701.

It can be written as a sum of positive squares in 3 ways, for example, as 11195716 + 96589584 = 3346^2 + 9828^2 .

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 17 ways as a sum of consecutive naturals, for example, 6099 + ... + 15898.

Almost surely, 2107785300 is an apocalyptic number.

107785300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107785300 is an abundant number, since it is smaller than the sum of its proper divisors (164307962).

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

107785300 is a wasteful number, since it uses less digits than its factorization.

107785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22011 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 107785300 is about 10381.9699479434. The cubic root of 107785300 is about 475.9045367959.

The spelling of 107785300 in words is "one hundred seven million, seven hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 21997 43994 87988 109985 153979 219970 307958 439940 549925 615916 769895 1077853 1099850 1539790 2155706 2199700 3079580 3849475 4311412 5389265 7698950 10778530 15397900 21557060 26946325 53892650 107785300