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106528327906 = 271113259320521
BaseRepresentation
bin110001100110110010…
…1010100100011100010
3101011222010211202120011
41203031211110203202
53221132222443111
6120534411435134
710460604563320
oct1431545244342
9334863752504
10106528327906
11411a6511520
1218790155aaa
13a07919b470
1452280bad10
152b87434021
hex18cd9548e2

106528327906 has 64 divisors (see below), whose sum is σ = 214639762176. Its totient is φ = 38295244800.

The previous prime is 106528327901. The next prime is 106528327981. The reversal of 106528327906 is 609723825601.

It is a super-2 number, since 2×1065283279062 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106528327906.

It is not an unprimeable number, because it can be changed into a prime (106528327901) 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 31 ways as a sum of consecutive naturals, for example, 5180926 + ... + 5201446.

It is an arithmetic number, because the mean of its divisors is an integer number (3353746284).

Almost surely, 2106528327906 is an apocalyptic number.

106528327906 is an abundant number, since it is smaller than the sum of its proper divisors (108111434270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106528327906 is a wasteful number, since it uses less digits than its factorization.

106528327906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23147.

The product of its (nonzero) digits is 1088640, while the sum is 49.

It can be divided in two parts, 106528 and 327906, that added together give a palindrome (434434).

The spelling of 106528327906 in words is "one hundred six billion, five hundred twenty-eight million, three hundred twenty-seven thousand, nine hundred six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 2593 5186 18151 20521 28523 33709 36302 41042 57046 67418 143647 199661 225731 235963 266773 287294 370799 399322 451462 471926 533546 741598 1580117 1867411 2595593 2934503 3160234 3734822 5191186 5869006 20541521 41083042 53210953 106421906 372476671 585320483 691742389 744953342 1170640966 1383484778 4097243381 4842196723 7609166279 8194486762 9684393446 15218332558 53264163953 106528327906