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106360402005 = 3251113192932969
BaseRepresentation
bin110001100001110010…
…0101111000001010101
3101011112102212020112100
41203003210233001111
53220311230331010
6120510012312313
710453465333404
oct1430344570125
9334472766470
10106360402005
114111a746290
1218743a72699
13a050464220
14520da8763b
152b778132c0
hex18c392f055

106360402005 has 192 divisors, whose sum is σ = 228843014400. Its totient is φ = 44927447040.

The previous prime is 106360401997. The next prime is 106360402013. The reversal of 106360402005 is 500204063601.

106360402005 is a `hidden beast` number, since 1 + 0 + 636 + 0 + 4 + 0 + 20 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106360401997) and next prime (106360402013).

It is not a de Polignac number, because 106360402005 - 23 = 106360401997 is a prime.

It is a super-2 number, since 2×1063604020052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106360402005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35822161 + ... + 35825129.

It is an arithmetic number, because the mean of its divisors is an integer number (1191890700).

Almost surely, 2106360402005 is an apocalyptic number.

106360402005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106360402005 is an abundant number, since it is smaller than the sum of its proper divisors (122482612395).

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

106360402005 is a wasteful number, since it uses less digits than its factorization.

106360402005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106360402005 its reverse (500204063601), we get a palindrome (606564465606).

The spelling of 106360402005 in words is "one hundred six billion, three hundred sixty million, four hundred two thousand, five".