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104819166 = 232291571279
BaseRepresentation
bin1100011111101…
…10100111011110
321022020100212100
412033312213132
5203313203131
614222345530
72411643144
oct617664736
9238210770
10104819166
1154193211
122b12b2a6
131894019a
14dcc7594
1593077e6
hex63f69de

104819166 has 48 divisors (see below), whose sum is σ = 236620800. Its totient is φ = 33493824.

The previous prime is 104819159. The next prime is 104819173. The reversal of 104819166 is 661918401.

It is a happy number.

104819166 is a `hidden beast` number, since 10 + 481 + 9 + 166 = 666.

It is an interprime number because it is at equal distance from previous prime (104819159) and next prime (104819173).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104819166.

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, 81315 + ... + 82593.

It is an arithmetic number, because the mean of its divisors is an integer number (4929600).

Almost surely, 2104819166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104819166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118310400).

104819166 is an abundant number, since it is smaller than the sum of its proper divisors (131801634).

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

104819166 is a wasteful number, since it uses less digits than its factorization.

104819166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 104819166 is about 10238.1231678467. The cubic root of 104819166 is about 471.4984108260.

The spelling of 104819166 in words is "one hundred four million, eight hundred nineteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 314 471 522 942 1279 1413 2558 2826 3837 4553 7674 9106 11511 13659 23022 27318 37091 40977 74182 81954 111273 200803 222546 333819 401606 602409 667638 1204818 1807227 3614454 5823287 11646574 17469861 34939722 52409583 104819166