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106645258971 = 32711163143503
BaseRepresentation
bin110001101010010001…
…1011000001011011011
3101012021021212110211100
41203110203120023123
53221402141241341
6120554150002443
710463524513236
oct1432443301333
9335237773740
10106645258971
1141256517569
1218803346423
13a09748c544
14523983841d
152b928303b6
hex18d48d82db

106645258971 has 24 divisors (see below), whose sum is σ = 156348182016. Its totient is φ = 70034716080.

The previous prime is 106645258927. The next prime is 106645258997. The reversal of 106645258971 is 179852546601.

It is a happy number.

106645258971 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 52 + 589 + 7 + 1 = 666.

It is not a de Polignac number, because 106645258971 - 219 = 106644734683 is a prime.

It is a super-2 number, since 2×1066452589712 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106645258171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671406 + ... + 814908.

It is an arithmetic number, because the mean of its divisors is an integer number (6514507584).

Almost surely, 2106645258971 is an apocalyptic number.

106645258971 is a deficient number, since it is larger than the sum of its proper divisors (49702923045).

106645258971 is a wasteful number, since it uses less digits than its factorization.

106645258971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144743 (or 144740 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 106645258971 in words is "one hundred six billion, six hundred forty-five million, two hundred fifty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 9 71 213 639 1163 3489 10467 82573 143503 247719 430509 743157 1291527 10188713 30566139 91698417 166893989 500681967 1502045901 11849473219 35548419657 106645258971