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106846146 = 23211249057
BaseRepresentation
bin1100101111001…
…01011111000010
321110001100100200
412113211133002
5204323034041
614334030030
72435114541
oct627453702
9243040320
10106846146
1155348100
122b948316
131919c994
1410294158
1595a81b6
hex65e57c2

106846146 has 36 divisors (see below), whose sum is σ = 254463846. Its totient is φ = 32376960.

The previous prime is 106846141. The next prime is 106846189. The reversal of 106846146 is 641648601.

It can be written as a sum of positive squares in only one way, i.e., 76475025 + 30371121 = 8745^2 + 5511^2 .

It is a super-2 number, since 2×1068461462 = 22832197830106632, 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 106846146.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106846141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22351 + ... + 26706.

Almost surely, 2106846146 is an apocalyptic number.

106846146 is an abundant number, since it is smaller than the sum of its proper divisors (147617700).

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

106846146 is a wasteful number, since it uses less digits than its factorization.

106846146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49087 (or 49073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106846146 is about 10336.6409437496. The cubic root of 106846146 is about 474.5182868980.

The spelling of 106846146 in words is "one hundred six million, eight hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 49057 98114 147171 294342 441513 539627 883026 1079254 1618881 3237762 4856643 5935897 9713286 11871794 17807691 35615382 53423073 106846146