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106111050056 = 231110123351239
BaseRepresentation
bin110001011010010110…
…1100010000101001000
3101010220001122211221222
41202310231202011020
53214303412100211
6120425144021212
710444350020654
oct1426455420510
9333801584858
10106111050056
1141001a154a0
1218694461808
13a0108ba7ab
1451c88d9a64
152b609ab1db
hex18b4b62148

106111050056 has 64 divisors (see below), whose sum is σ = 220139337600. Its totient is φ = 47548864000.

The previous prime is 106111050049. The next prime is 106111050161. The reversal of 106111050056 is 650050111601.

It is a super-2 number, since 2×1061110500562 (a number of 23 digits) contains 22 as substring.

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, 2045285 + ... + 2096523.

It is an arithmetic number, because the mean of its divisors is an integer number (3439677150).

Almost surely, 2106111050056 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 106111050056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110069668800).

106111050056 is an abundant number, since it is smaller than the sum of its proper divisors (114028287544).

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

106111050056 is a wasteful number, since it uses less digits than its factorization.

106111050056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51590 (or 51586 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 106111050056 its reverse (650050111601), we get a palindrome (756161161657).

The spelling of 106111050056 in words is "one hundred six billion, one hundred eleven million, fifty thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 101 202 233 404 466 808 932 1111 1864 2222 2563 4444 5126 8888 10252 20504 23533 47066 51239 94132 102478 188264 204956 258863 409912 517726 563629 1035452 1127258 2070904 2254516 4509032 5175139 10350278 11938687 20700556 23877374 41401112 47754748 56926529 95509496 113853058 131325557 227706116 262651114 455412232 525302228 1050604456 1205807387 2411614774 4823229548 9646459096 13263881257 26527762514 53055525028 106111050056