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107107056 = 2433735419
BaseRepresentation
bin1100110001001…
…01001011110000
321110112121021000
412120211023300
5204404411211
614343402000
72440252320
oct630451360
9243477230
10107107056
1155506131
122ba53300
1319261674
1410321280
15960a656
hex66252f0

107107056 has 80 divisors (see below), whose sum is σ = 351366400. Its totient is φ = 30601152.

The previous prime is 107107051. The next prime is 107107057. The reversal of 107107056 is 650701701.

It is a super-2 number, since 2×1071070562 = 22943842889974272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107107051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14686 + ... + 20733.

It is an arithmetic number, because the mean of its divisors is an integer number (4392080).

Almost surely, 2107107056 is an apocalyptic number.

107107056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107107056 is an abundant number, since it is smaller than the sum of its proper divisors (244259344).

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

107107056 is a wasteful number, since it uses less digits than its factorization.

107107056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35443 (or 35431 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107107056 is about 10349.2538861504. The cubic root of 107107056 is about 474.9042185452.

Adding to 107107056 its reverse (650701701), we get a palindrome (757808757).

It can be divided in two parts, 10710 and 7056, that added together give a triangular number (17766 = T188).

The spelling of 107107056 in words is "one hundred seven million, one hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 35419 70838 106257 141676 212514 247933 283352 318771 425028 495866 566704 637542 743799 850056 956313 991732 1275084 1487598 1700112 1912626 1983464 2231397 2550168 2975196 3825252 3966928 4462794 5100336 5950392 6694191 7650504 8925588 11900784 13388382 15301008 17851176 26776764 35702352 53553528 107107056