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105706944 = 26357971
BaseRepresentation
bin1100100110011…
…11010111000000
321100220110200000
412103033113000
5204030110234
614253400000
72422331340
oct623172700
9240813600
10105706944
115473a212
122b499000
1318b912b5
1410078d20
159430899
hex64cf5c0

105706944 has 168 divisors, whose sum is σ = 359468928. Its totient is φ = 30170880.

The previous prime is 105706933. The next prime is 105706973. The reversal of 105706944 is 449607501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1057069442 = 22347916019638272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105706899 and 105706908.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 108379 + ... + 109349.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2105706944 is an apocalyptic number.

105706944 is a gapful number since it is divisible by the number (14) 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 105706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

105706944 is an abundant number, since it is smaller than the sum of its proper divisors (253761984).

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

105706944 is an frugal number, since it uses more digits than its factorization.

105706944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105706944 is about 10281.3882331133. The cubic root of 105706944 is about 472.8258070378.

The spelling of 105706944 in words is "one hundred five million, seven hundred six thousand, nine hundred forty-four".