Search a number
-
+
106591044 = 22376312011
BaseRepresentation
bin1100101101001…
…11001101000100
321102120101102110
412112213031010
5204241403134
614324341020
72433003030
oct626471504
9242511373
10106591044
115519347a
122b844770
1319110831
14102291c0
1595577e9
hex65a7344

106591044 has 48 divisors (see below), whose sum is σ = 284834816. Its totient is φ = 30391200.

The previous prime is 106591033. The next prime is 106591073. The reversal of 106591044 is 440195601.

It is a happy number.

It is a super-2 number, since 2×1065910442 = 22723301322019872, which contains 22 as substring.

It is an unprimeable number.

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, 51999 + ... + 54009.

Almost surely, 2106591044 is an apocalyptic number.

106591044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106591044 is an abundant number, since it is smaller than the sum of its proper divisors (178243772).

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

106591044 is a wasteful number, since it uses less digits than its factorization.

106591044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106591044 is about 10324.2938741591. The cubic root of 106591044 is about 474.1403383704.

The spelling of 106591044 in words is "one hundred six million, five hundred ninety-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 631 1262 1893 2011 2524 3786 4022 4417 6033 7572 8044 8834 12066 13251 14077 17668 24132 26502 28154 42231 53004 56308 84462 168924 1268941 2537882 3806823 5075764 7613646 8882587 15227292 17765174 26647761 35530348 53295522 106591044