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106055265321 = 3231380126399
BaseRepresentation
bin110001011000101100…
…0101110110000101001
3101010202011200200200200
41202301120232300221
53214200121442241
6120415432222413
710443101611155
oct1426130566051
9333664620620
10106055265321
1140a83483605
121867983aa09
13a002188385
1451c1338065
152b5ab3c4b6
hex18b162ec29

106055265321 has 12 divisors (see below), whose sum is σ = 158132582400. Its totient is φ = 68422751640.

The previous prime is 106055265287. The next prime is 106055265341. The reversal of 106055265321 is 123562550601.

106055265321 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 526 + 53 + 21 = 666.

It is not a de Polignac number, because 106055265321 - 27 = 106055265193 is a prime.

It is a super-2 number, since 2×1060552653212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055265341) 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 11 ways as a sum of consecutive naturals, for example, 190062921 + ... + 190063478.

It is an arithmetic number, because the mean of its divisors is an integer number (13177715200).

Almost surely, 2106055265321 is an apocalyptic number.

It is an amenable number.

106055265321 is a deficient number, since it is larger than the sum of its proper divisors (52077317079).

106055265321 is a wasteful number, since it uses less digits than its factorization.

106055265321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380126436 (or 380126433 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 106055265321 in words is "one hundred six billion, fifty-five million, two hundred sixty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 31 93 279 380126399 1140379197 3421137591 11783918369 35351755107 106055265321