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106919046 = 232133831193
BaseRepresentation
bin1100101111101…
…11010010000110
321110012001100200
412113313102012
5204332402141
614335351330
72435540223
oct627672206
9243161320
10106919046
1155397953
122b982546
13191c6c10
14102b294a
1595beab6
hex65f7486

106919046 has 48 divisors (see below), whose sum is σ = 250338816. Its totient is φ = 32784768.

The previous prime is 106919039. The next prime is 106919063. The reversal of 106919046 is 640919601.

It is a super-2 number, since 2×1069190462 = 22863364795100232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106919046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89026 + ... + 90218.

It is an arithmetic number, because the mean of its divisors is an integer number (5215392).

Almost surely, 2106919046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106919046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125169408).

106919046 is an abundant number, since it is smaller than the sum of its proper divisors (143419770).

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

106919046 is a wasteful number, since it uses less digits than its factorization.

106919046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 106919046 is about 10340.1666330867. The cubic root of 106919046 is about 474.6261819728.

The spelling of 106919046 in words is "one hundred six million, nine hundred nineteen thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 383 766 1149 1193 2298 2386 3447 3579 4979 6894 7158 9958 10737 14937 15509 21474 29874 31018 44811 46527 89622 93054 139581 279162 456919 913838 1370757 2741514 4112271 5939947 8224542 11879894 17819841 35639682 53459523 106919046