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107035379 = 11194112491
BaseRepresentation
bin1100110000100…
…11101011110011
321110101221221022
412120103223303
5204400113004
614342050055
72436533333
oct630235363
9243357838
10107035379
11554672a0
122ba1992b
1319237b59
14103030c3
1595e42be
hex6613af3

107035379 has 16 divisors (see below), whose sum is σ = 125919360. Its totient is φ = 89928000.

The previous prime is 107035363. The next prime is 107035391. The reversal of 107035379 is 973530701.

It is a cyclic number.

It is not a de Polignac number, because 107035379 - 24 = 107035363 is a prime.

It is a super-2 number, since 2×1070353792 = 22913144715347282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107035679) 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, 2324 + ... + 14814.

It is an arithmetic number, because the mean of its divisors is an integer number (7869960).

Almost surely, 2107035379 is an apocalyptic number.

107035379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

107035379 is a deficient number, since it is larger than the sum of its proper divisors (18883981).

107035379 is a wasteful number, since it uses less digits than its factorization.

107035379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 107035379 is about 10345.7903999646. The cubic root of 107035379 is about 474.7982581881.

The spelling of 107035379 in words is "one hundred seven million, thirty-five thousand, three hundred seventy-nine".

Divisors: 1 11 19 41 209 451 779 8569 12491 137401 237329 512131 2610619 5633441 9730489 107035379