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106634163060 = 223254712604511
BaseRepresentation
bin110001101001111100…
…1000011001101110100
3101012020111222202002200
41203103321003031310
53221341321204220
6120553112104500
710463331300525
oct1432371031564
9335214882080
10106634163060
1141250228a97
12187bb695130
13a0950a5c09
14523818a84c
152b9188c890
hex18d3e43374

106634163060 has 72 divisors (see below), whose sum is σ = 330339050496. Its totient is φ = 27830758080.

The previous prime is 106634163037. The next prime is 106634163061. The reversal of 106634163060 is 60361436601.

106634163060 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 341 + 6 + 306 + 0 = 666.

It is a super-2 number, since 2×1066341630602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106634163061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6293796 + ... + 6310715.

It is an arithmetic number, because the mean of its divisors is an integer number (4588042368).

Almost surely, 2106634163060 is an apocalyptic number.

106634163060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106634163060 is an abundant number, since it is smaller than the sum of its proper divisors (223704887436).

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

106634163060 is a wasteful number, since it uses less digits than its factorization.

106634163060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604573 (or 12604568 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 106634163060 its reverse (60361436601), we get a palindrome (166995599661).

The spelling of 106634163060 in words is "one hundred six billion, six hundred thirty-four million, one hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 12604511 25209022 37813533 50418044 63022555 75627066 113440599 126045110 151254132 189067665 226881198 252090220 378135330 453762396 567202995 592412017 756270660 1134405990 1184824034 1777236051 2268811980 2369648068 2962060085 3554472102 5331708153 5924120170 7108944204 8886180255 10663416306 11848240340 17772360510 21326832612 26658540765 35544721020 53317081530 106634163060