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106101060 = 223513136027
BaseRepresentation
bin1100101001011…
…11100101000100
321101122111021220
412110233211010
5204130213220
614310040340
72425562352
oct624574504
9241574256
10106101060
115498932a
122b6490b0
1318c9b7c0
141013c7d2
1594ac540
hex652f944

106101060 has 48 divisors (see below), whose sum is σ = 319937856. Its totient is φ = 26116992.

The previous prime is 106101059. The next prime is 106101077. The reversal of 106101060 is 60101601.

It is a super-2 number, since 2×1061010602 = 22514869866247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67234 + ... + 68793.

It is an arithmetic number, because the mean of its divisors is an integer number (6665372).

Almost surely, 2106101060 is an apocalyptic number.

106101060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106101060 is an abundant number, since it is smaller than the sum of its proper divisors (213836796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106101060 is a wasteful number, since it uses less digits than its factorization.

106101060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136052 (or 136050 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106101060 is about 10300.5368792117. The cubic root of 106101060 is about 473.4127035233.

Adding to 106101060 its reverse (60101601), we get a palindrome (166202661).

The spelling of 106101060 in words is "one hundred six million, one hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 136027 272054 408081 544108 680135 816162 1360270 1632324 1768351 2040405 2720540 3536702 4080810 5305053 7073404 8161620 8841755 10610106 17683510 21220212 26525265 35367020 53050530 106101060