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106188495 = 3575961281
BaseRepresentation
bin1100101010001…
…00111011001111
321101210221020020
412111010323033
5204141012440
614311553223
72426405310
oct625047317
9241727206
10106188495
1154a38a96
122b68b813
1318ccc53a
1410162607
1594c83d0
hex6544ecf

106188495 has 64 divisors (see below), whose sum is σ = 201415680. Its totient is φ = 46771200.

The previous prime is 106188491. The next prime is 106188497. The reversal of 106188495 is 594881601.

It is not a de Polignac number, because 106188495 - 22 = 106188491 is a prime.

It is a super-2 number, since 2×1061884952 = 22551992940730050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106188491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377755 + ... + 378035.

It is an arithmetic number, because the mean of its divisors is an integer number (3147120).

Almost surely, 2106188495 is an apocalyptic number.

106188495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106188495 is a deficient number, since it is larger than the sum of its proper divisors (95227185).

106188495 is a wasteful number, since it uses less digits than its factorization.

106188495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 106188495 is about 10304.7802014405. The cubic root of 106188495 is about 473.5427099992.

The spelling of 106188495 in words is "one hundred six million, one hundred eighty-eight thousand, four hundred ninety-five".

Divisors: 1 3 5 7 15 21 35 59 61 105 177 183 281 295 305 413 427 843 885 915 1239 1281 1405 1967 2065 2135 3599 4215 5901 6195 6405 9835 10797 16579 17141 17995 25193 29505 49737 51423 53985 75579 82895 85705 116053 119987 125965 248685 257115 348159 359961 377895 580265 599935 1011319 1740795 1799805 3033957 5056595 7079233 15169785 21237699 35396165 106188495