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106048985 = 5723113963
BaseRepresentation
bin1100101001000…
…10110111011001
321101112211212012
412110202313121
5204122031420
614304555305
72425254500
oct624426731
9241484765
10106048985
1154953199
122b622b35
1318c80ba3
1410127837
15949bdc5
hex6522dd9

106048985 has 24 divisors (see below), whose sum is σ = 152822016. Its totient is φ = 70368480.

The previous prime is 106048981. The next prime is 106048991. The reversal of 106048985 is 589840601.

It is not a de Polignac number, because 106048985 - 22 = 106048981 is a prime.

It is a super-2 number, since 2×1060489852 = 22492774439060450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106048981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (6367584).

Almost surely, 2106048985 is an apocalyptic number.

It is an amenable number.

106048985 is a deficient number, since it is larger than the sum of its proper divisors (46773031).

106048985 is a wasteful number, since it uses less digits than its factorization.

106048985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14013 (or 14006 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 106048985 is about 10298.0087881104. The cubic root of 106048985 is about 473.3352396383.

The spelling of 106048985 in words is "one hundred six million, forty-eight thousand, nine hundred eighty-five".

Divisors: 1 5 7 31 35 49 155 217 245 1085 1519 7595 13963 69815 97741 432853 488705 684187 2164265 3029971 3420935 15149855 21209797 106048985