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106005106052 = 22198111719857
BaseRepresentation
bin110001010111001100…
…1011000110110000100
3101010121200022100002222
41202232121120312010
53214044301343202
6120410441151512
710441622351216
oct1425631306604
9333550270088
10106005106052
1140a5813416a
1218664a8b598
139cc4975631
1451b87dc5b6
152b565304a2
hex18ae658d84

106005106052 has 24 divisors (see below), whose sum is σ = 195513457440. Its totient is φ = 50151000960.

The previous prime is 106005106043. The next prime is 106005106133. The reversal of 106005106052 is 250601500601.

It is a super-2 number, since 2×1060051060522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 798293 + ... + 921564.

It is an arithmetic number, because the mean of its divisors is an integer number (8146394060).

Almost surely, 2106005106052 is an apocalyptic number.

It is an amenable number.

106005106052 is a deficient number, since it is larger than the sum of its proper divisors (89508351388).

106005106052 is a wasteful number, since it uses less digits than its factorization.

106005106052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720691 (or 1720689 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 106005106052 its reverse (250601500601), we get a palindrome (356606606653).

The spelling of 106005106052 in words is "one hundred six billion, five million, one hundred six thousand, fifty-two".

Divisors: 1 2 4 19 38 76 811 1622 3244 15409 30818 61636 1719857 3439714 6879428 32677283 65354566 130709132 1394804027 2789608054 5579216108 26501276513 53002553026 106005106052