Search a number
-
+
110105056 = 2517316529
BaseRepresentation
bin1101001000000…
…01000111100000
321200011220202001
412210001013200
5211141330211
614531533344
72504606665
oct644010740
9250156661
10110105056
1157173616
1230a5a254
1319a71129
14108a1a6c
1599edac1
hex69011e0

110105056 has 48 divisors (see below), whose sum is σ = 236960640. Its totient is φ = 50135040.

The previous prime is 110105027. The next prime is 110105077. The reversal of 110105056 is 650501011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13600 + ... + 20128.

It is an arithmetic number, because the mean of its divisors is an integer number (4936680).

Almost surely, 2110105056 is an apocalyptic number.

110105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118480320).

110105056 is an abundant number, since it is smaller than the sum of its proper divisors (126855584).

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

110105056 is a wasteful number, since it uses less digits than its factorization.

110105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 110105056 is about 10493.0956347495. The cubic root of 110105056 is about 479.2944727492.

Adding to 110105056 its reverse (650501011), we get a palindrome (760606067).

The spelling of 110105056 in words is "one hundred ten million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 6529 8432 13058 16864 26116 52232 104464 110993 202399 208928 221986 404798 443972 809596 887944 1619192 1775888 3238384 3440783 3551776 6476768 6881566 13763132 27526264 55052528 110105056