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106045562131 = 1759105728377
BaseRepresentation
bin110001011000011001…
…1101101110100010011
3101010201111102201102021
41202300303231310103
53214140130442011
6120414444232311
710442623256035
oct1426063556423
9333644381367
10106045562131
1140a78a56443
121867653b697
13a00016b942
1451bdd2dc55
152b59d72471
hex18b0cedd13

106045562131 has 8 divisors (see below), whose sum is σ = 114186648240. Its totient is φ = 98115932928.

The previous prime is 106045562111. The next prime is 106045562177. The reversal of 106045562131 is 131265540601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106045562131 - 219 = 106045037843 is a prime.

It is a super-2 number, since 2×1060455621312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106045562111) 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 7 ways as a sum of consecutive naturals, for example, 52863186 + ... + 52865191.

It is an arithmetic number, because the mean of its divisors is an integer number (14273331030).

Almost surely, 2106045562131 is an apocalyptic number.

106045562131 is a deficient number, since it is larger than the sum of its proper divisors (8141086109).

106045562131 is a wasteful number, since it uses less digits than its factorization.

106045562131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105728453.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 106045562131 in words is "one hundred six billion, forty-five million, five hundred sixty-two thousand, one hundred thirty-one".

Divisors: 1 17 59 1003 105728377 1797382409 6237974243 106045562131