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106796816 = 247953543
BaseRepresentation
bin1100101110110…
…01011100010000
321102221211200122
412113121130100
5204314444231
614333005412
72434520660
oct627313420
9242854618
10106796816
1155314035
122b923868
13191833a9
14102801a0
15959877b
hex65d9710

106796816 has 20 divisors (see below), whose sum is σ = 236478912. Its totient is φ = 45770016.

The previous prime is 106796813. The next prime is 106796857. The reversal of 106796816 is 618697601.

It is a super-2 number, since 2×1067968162 = 22811119815475712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106796813) 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 3 ways as a sum of consecutive naturals, for example, 476660 + ... + 476883.

Almost surely, 2106796816 is an apocalyptic number.

106796816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106796816 is an abundant number, since it is smaller than the sum of its proper divisors (129682096).

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

106796816 is an equidigital number, since it uses as much as digits as its factorization.

106796816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953558 (or 953552 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 106796816 is about 10334.2544965759. The cubic root of 106796816 is about 474.4452485735.

The spelling of 106796816 in words is "one hundred six million, seven hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 953543 1907086 3814172 6674801 7628344 13349602 15256688 26699204 53398408 106796816