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106714116108 = 22322964281003
BaseRepresentation
bin110001101100010101…
…0000011000000001100
3101012110002102210001200
41203120222003000030
53222022303203413
6121005045505500
710465322010015
oct1433052030014
9335402383050
10106714116108
1141291377996
1218822412290
13a0a881ab02
145244a4000c
152b988d2573
hex18d8a8300c

106714116108 has 18 divisors (see below), whose sum is σ = 269749571364. Its totient is φ = 35571372024.

The previous prime is 106714116077. The next prime is 106714116149. The reversal of 106714116108 is 801611417601.

106714116108 is a `hidden beast` number, since 10 + 6 + 7 + 14 + 11 + 610 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1067141161082 (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), and also a Moran number because the ratio is a prime number: 2964281003 = 106714116108 / (1 + 0 + 6 + 7 + 1 + 4 + 1 + 1 + 6 + 1 + 0 + 8).

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 5 ways as a sum of consecutive naturals, for example, 1482140466 + ... + 1482140537.

It is an arithmetic number, because the mean of its divisors is an integer number (14986087298).

Almost surely, 2106714116108 is an apocalyptic number.

106714116108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106714116108 is an abundant number, since it is smaller than the sum of its proper divisors (163035455256).

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

106714116108 is a wasteful number, since it uses less digits than its factorization.

106714116108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964281013 (or 2964281008 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 106714116108 in words is "one hundred six billion, seven hundred fourteen million, one hundred sixteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2964281003 5928562006 8892843009 11857124012 17785686018 26678529027 35571372036 53357058054 106714116108