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106225626065 = 5132953553417
BaseRepresentation
bin110001011101110001…
…0100110101111010001
3101011012001020220200212
41202323202212233101
53220022230013230
6120444355453505
710450240631546
oct1427342465721
9334161226625
10106225626065
1141060662109
12187068b7295
13a02b565950
1451d9c02bcd
152b6aa8e895
hex18bb8a6bd1

106225626065 has 16 divisors (see below), whose sum is σ = 137322928848. Its totient is φ = 78416833536.

The previous prime is 106225626047. The next prime is 106225626139. The reversal of 106225626065 is 560626522601.

It can be written as a sum of positive squares in 8 ways, for example, as 441966529 + 105783659536 = 21023^2 + 325244^2 .

It is a cyclic number.

It is not a de Polignac number, because 106225626065 - 210 = 106225625041 is a prime.

It is a super-2 number, since 2×1062256260652 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84764 + ... + 468653.

It is an arithmetic number, because the mean of its divisors is an integer number (8582683053).

Almost surely, 2106225626065 is an apocalyptic number.

It is an amenable number.

106225626065 is a deficient number, since it is larger than the sum of its proper divisors (31097302783).

106225626065 is a wasteful number, since it uses less digits than its factorization.

106225626065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556388.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 106225626065 in words is "one hundred six billion, two hundred twenty-five million, six hundred twenty-six thousand, sixty-five".

Divisors: 1 5 13 65 2953 14765 38389 191945 553417 2767085 7194421 35972105 1634240401 8171202005 21245125213 106225626065