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106551444 = 223174711113
BaseRepresentation
bin1100101100111…
…01100010010100
321102111101002210
412112131202110
5204234121234
614323433420
72432446416
oct626354224
9242441083
10106551444
115516674a
122b825870
13190c87bc
14102189b6
15954abe9
hex659d894

106551444 has 48 divisors (see below), whose sum is σ = 268869888. Its totient is φ = 32713728.

The previous prime is 106551443. The next prime is 106551503. The reversal of 106551444 is 444155601.

It is a super-2 number, since 2×1065514442 = 22706420436970272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106551443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 15144.

It is an arithmetic number, because the mean of its divisors is an integer number (5601456).

Almost surely, 2106551444 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 106551444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134434944).

106551444 is an abundant number, since it is smaller than the sum of its proper divisors (162318444).

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

106551444 is a wasteful number, since it uses less digits than its factorization.

106551444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 106551444 is about 10322.3758892999. The cubic root of 106551444 is about 474.0816146029.

The spelling of 106551444 in words is "one hundred six million, five hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4794 9588 11113 22226 33339 44452 66678 133356 188921 377842 522311 566763 755684 1044622 1133526 1566933 2089244 2267052 3133866 6267732 8879287 17758574 26637861 35517148 53275722 106551444