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107812 = 2226953
BaseRepresentation
bin11010010100100100
312110220001
4122110210
511422222
62151044
7626215
oct322444
9173801
10107812
1174001
1252484
133a0c3
142b40c
1521e27
hex1a524

107812 has 6 divisors (see below), whose sum is σ = 188678. Its totient is φ = 53904.

The previous prime is 107791. The next prime is 107827. The reversal of 107812 is 218701.

It can be written as a sum of positive squares in only one way, i.e., 98596 + 9216 = 314^2 + 96^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 107812.

It is an unprimeable number.

107812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13473 + ... + 13480.

2107812 is an apocalyptic number.

It is an amenable number.

107812 is a deficient number, since it is larger than the sum of its proper divisors (80866).

107812 is a wasteful number, since it uses less digits than its factorization.

107812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26957 (or 26955 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 107812 is about 328.3473770262. The cubic root of 107812 is about 47.5943829730.

Subtracting 107812 from its reverse (218701), we obtain a square (110889 = 3332).

It can be divided in two parts, 107 and 812, that added together give a palindrome (919).

The spelling of 107812 in words is "one hundred seven thousand, eight hundred twelve".

Divisors: 1 2 4 26953 53906 107812