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106599945 = 35171014139
BaseRepresentation
bin1100101101010…
…01011000001001
321102120211122010
412112221120021
5204242144240
614324450133
72433041004
oct626513011
9242524563
10106599945
115519a131
122b849949
13191148ba
141022c53b
15955a280
hex65a9609

106599945 has 32 divisors (see below), whose sum is σ = 182424960. Its totient is φ = 52966400.

The previous prime is 106599919. The next prime is 106599947. The reversal of 106599945 is 549995601.

It is not a de Polignac number, because 106599945 - 212 = 106595849 is a prime.

It is a super-2 number, since 2×1065999452 = 22727096548006050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106599894 and 106599903.

It is not an unprimeable number, because it can be changed into a prime (106599947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23686 + ... + 27824.

It is an arithmetic number, because the mean of its divisors is an integer number (5700780).

Almost surely, 2106599945 is an apocalyptic number.

106599945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106599945 is a deficient number, since it is larger than the sum of its proper divisors (75825015).

106599945 is a wasteful number, since it uses less digits than its factorization.

106599945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265.

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 106599945 is about 10324.7249358034. The cubic root of 106599945 is about 474.1535358697.

The spelling of 106599945 in words is "one hundred six million, five hundred ninety-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 15 17 51 85 101 255 303 505 1515 1717 4139 5151 8585 12417 20695 25755 62085 70363 211089 351815 418039 1055445 1254117 2090195 6270585 7106663 21319989 35533315 106599945