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106066515719 = 1737473587813
BaseRepresentation
bin110001011001000001…
…1101001011100000111
3101010202221212021100002
41202302003221130013
53214211012000334
6120420513311515
710443266336153
oct1426203513407
9333687767302
10106066515719
1140a8986815a
121868156559b
13a0045c7108
1451c2a26063
152b5bb10b7e
hex18b20e9707

106066515719 has 16 divisors (see below), whose sum is σ = 117795109248. Its totient is φ = 95062666752.

The previous prime is 106066515713. The next prime is 106066515721. The reversal of 106066515719 is 917515660601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106066515719 - 28 = 106066515463 is a prime.

It is a super-2 number, since 2×1060665157192 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066515713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1764344 + ... + 1823469.

It is an arithmetic number, because the mean of its divisors is an integer number (7362194328).

Almost surely, 2106066515719 is an apocalyptic number.

106066515719 is a deficient number, since it is larger than the sum of its proper divisors (11728593529).

106066515719 is a wasteful number, since it uses less digits than its factorization.

106066515719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587914.

The product of its (nonzero) digits is 340200, while the sum is 47.

The spelling of 106066515719 in words is "one hundred six billion, sixty-six million, five hundred fifteen thousand, seven hundred nineteen".

Divisors: 1 17 37 47 629 799 1739 29563 3587813 60992821 132749081 168627211 2256734377 2866662587 6239206807 106066515719