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107016096 = 25311101341
BaseRepresentation
bin1100110000011…
…10111110100000
321110100222111010
412120032332200
5204344003341
614341420520
72436423165
oct630167640
9243328433
10107016096
1155453860
122ba0a740
131922c145
14102da06c
1595dd716
hex660efa0

107016096 has 48 divisors (see below), whose sum is σ = 306458208. Its totient is φ = 32428800.

The previous prime is 107016089. The next prime is 107016101. The reversal of 107016096 is 690610701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1070160962 = 22904889606162432, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 49615 + ... + 51726.

It is an arithmetic number, because the mean of its divisors is an integer number (6384546).

Almost surely, 2107016096 is an apocalyptic number.

107016096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107016096 is an abundant number, since it is smaller than the sum of its proper divisors (199442112).

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

107016096 is a wasteful number, since it uses less digits than its factorization.

107016096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101365 (or 101357 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 107016096 is about 10344.8584330575. The cubic root of 107016096 is about 474.7697439879.

Adding to 107016096 its reverse (690610701), we get a palindrome (797626797).

The spelling of 107016096 in words is "one hundred seven million, sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 101341 202682 304023 405364 608046 810728 1114751 1216092 1621456 2229502 2432184 3242912 3344253 4459004 4864368 6688506 8918008 9728736 13377012 17836016 26754024 35672032 53508048 107016096