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106941804 = 223191992357
BaseRepresentation
bin1100101111111…
…00110101101100
321110020012120120
412113330311230
5204334114204
614340044540
72435663454
oct627746554
9243205516
10106941804
1155402a62
122b993750
1319204398
14102bad64
1595c66d9
hex65fcd6c

106941804 has 48 divisors (see below), whose sum is σ = 264096000. Its totient is φ = 33587136.

The previous prime is 106941787. The next prime is 106941811. The reversal of 106941804 is 408149601.

It is a super-2 number, since 2×1069418042 = 22873098885548832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44194 + ... + 46550.

It is an arithmetic number, because the mean of its divisors is an integer number (5502000).

Almost surely, 2106941804 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 106941804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132048000).

106941804 is an abundant number, since it is smaller than the sum of its proper divisors (157154196).

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

106941804 is a wasteful number, since it uses less digits than its factorization.

106941804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106941804 is about 10341.2670403583. The cubic root of 106941804 is about 474.6598547273.

The spelling of 106941804 in words is "one hundred six million, nine hundred forty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2357 2388 3781 4714 7071 7562 9428 11343 14142 15124 22686 28284 44783 45372 89566 134349 179132 268698 469043 537396 938086 1407129 1876172 2814258 5628516 8911817 17823634 26735451 35647268 53470902 106941804