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106048107 = 32111071193
BaseRepresentation
bin1100101001000…
…10101001101011
321101112210122200
412110202221223
5204122014412
614304551243
72425252104
oct624425153
9241483580
10106048107
1154952570
122b622523
1318c80679
14101273ab
15949b9dc
hex6522a6b

106048107 has 12 divisors (see below), whose sum is σ = 167106264. Its totient is φ = 64271520.

The previous prime is 106048093. The next prime is 106048123. The reversal of 106048107 is 701840601.

It is a happy number.

It is not a de Polignac number, because 106048107 - 26 = 106048043 is a prime.

It is a super-2 number, since 2×1060481072 = 22492401996566898, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106041107) 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 11 ways as a sum of consecutive naturals, for example, 535498 + ... + 535695.

It is an arithmetic number, because the mean of its divisors is an integer number (13925522).

Almost surely, 2106048107 is an apocalyptic number.

106048107 is a deficient number, since it is larger than the sum of its proper divisors (61058157).

106048107 is a wasteful number, since it uses less digits than its factorization.

106048107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071210 (or 1071207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106048107 is about 10297.9661584218. The cubic root of 106048107 is about 473.3339333568. Note that the first 3 decimals are identical.

Adding to 106048107 its reverse (701840601), we get a palindrome (807888708).

The spelling of 106048107 in words is "one hundred six million, forty-eight thousand, one hundred seven".

Divisors: 1 3 9 11 33 99 1071193 3213579 9640737 11783123 35349369 106048107