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106401108 = 223112127577
BaseRepresentation
bin1100101011110…
…00110101010100
321102012201212210
412111320311110
5204214313413
614320313420
72431252212
oct625706524
9242181783
10106401108
1155073800
122b772870
1319075248
14101b9cb2
15951b3c3
hex6578d54

106401108 has 72 divisors (see below), whose sum is σ = 275516416. Its totient is φ = 31933440.

The previous prime is 106401107. The next prime is 106401149. The reversal of 106401108 is 801104601.

It is a super-2 number, since 2×1064011082 = 22642391567255328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106401107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184116 + ... + 184692.

Almost surely, 2106401108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106401108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137758208).

106401108 is an abundant number, since it is smaller than the sum of its proper divisors (169115308).

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

106401108 is a wasteful number, since it uses less digits than its factorization.

106401108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 106401108 is about 10315.0912744386. The cubic root of 106401108 is about 473.8585452673.

Adding to 106401108 its reverse (801104601), we get a palindrome (907505709).

The spelling of 106401108 in words is "one hundred six million, four hundred one thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 363 381 484 508 577 726 762 1154 1397 1452 1524 1731 2308 2794 3462 4191 5588 6347 6924 8382 12694 15367 16764 19041 25388 30734 38082 46101 61468 69817 73279 76164 92202 139634 146558 184404 209451 219837 279268 293116 418902 439674 806069 837804 879348 1612138 2418207 3224276 4836414 8866759 9672828 17733518 26600277 35467036 53200554 106401108