Search a number
-
+
106212112 = 248379979
BaseRepresentation
bin1100101010010…
…10101100010000
321101212010121221
412111022230100
5204142241422
614312254424
72426534206
oct625125420
9241763557
10106212112
1154a54806
122b6a1414
131900a206
141016b076
1594d03c7
hex654ab10

106212112 has 20 divisors (see below), whose sum is σ = 208267920. Its totient is φ = 52465568.

The previous prime is 106212101. The next prime is 106212121. The reversal of 106212112 is 211212601.

It is a super-2 number, since 2×1062121122 = 22562025471001088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38662 + ... + 41317.

It is an arithmetic number, because the mean of its divisors is an integer number (10413396).

Almost surely, 2106212112 is an apocalyptic number.

It is an amenable number.

106212112 is a deficient number, since it is larger than the sum of its proper divisors (102055808).

106212112 is an equidigital number, since it uses as much as digits as its factorization.

106212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80070 (or 80064 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 106212112 is about 10305.9260622226. The cubic root of 106212112 is about 473.5778137053.

Adding to 106212112 its reverse (211212601), we get a palindrome (317424713).

The spelling of 106212112 in words is "one hundred six million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 83 166 332 664 1328 79979 159958 319916 639832 1279664 6638257 13276514 26553028 53106056 106212112