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107012 = 2231863
BaseRepresentation
bin11010001000000100
312102210102
4122020010
511411022
62143232
7623663
oct321004
9172712
10107012
1173444
1251b18
1339929
142adda
1521a92
hex1a204

107012 has 12 divisors (see below), whose sum is σ = 193536. Its totient is φ = 51720.

The previous prime is 106993. The next prime is 107021. The reversal of 107012 is 210701.

It is a super-2 number, since 2×1070122 = 22903136288, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106984 and 107002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107012.

It is an unprimeable number.

107012 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2107012 is an apocalyptic number.

It is an amenable number.

107012 is a deficient number, since it is larger than the sum of its proper divisors (86524).

107012 is a wasteful number, since it uses less digits than its factorization.

107012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 107012 is about 327.1268866969. The cubic root of 107012 is about 47.4763686701.

Adding to 107012 its reverse (210701), we get a palindrome (317713).

The spelling of 107012 in words is "one hundred seven thousand, twelve", and thus it is an iban number.

Divisors: 1 2 4 31 62 124 863 1726 3452 26753 53506 107012