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104668291 = 7132103859
BaseRepresentation
bin1100011110100…
…01110010000011
321021221200220101
412033101302003
5203243341131
614215223231
72410444240
oct617216203
9237850811
10104668291
115409a922
122b077b17
13188b9600
14dc885c7
1592c7c61
hex63d1c83

104668291 has 24 divisors (see below), whose sum is σ = 130940160. Its totient is φ = 81914976.

The previous prime is 104668189. The next prime is 104668309. The reversal of 104668291 is 192866401.

It is a happy number.

It is not a de Polignac number, because 104668291 - 219 = 104144003 is a prime.

It is a super-2 number, since 2×1046682912 = 21910902281721362, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104668291.

It is not an unprimeable number, because it can be changed into a prime (104668391) by changing a digit.

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, 121420 + ... + 122278.

It is an arithmetic number, because the mean of its divisors is an integer number (5455840).

Almost surely, 2104668291 is an apocalyptic number.

104668291 is a deficient number, since it is larger than the sum of its proper divisors (26271869).

104668291 is a wasteful number, since it uses less digits than its factorization.

104668291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 104668291 is about 10230.7522206336. The cubic root of 104668291 is about 471.2720798216.

The spelling of 104668291 in words is "one hundred four million, six hundred sixty-eight thousand, two hundred ninety-one".

Divisors: 1 7 13 91 103 169 721 859 1183 1339 6013 9373 11167 17407 78169 88477 121849 145171 619339 1016197 1150201 8051407 14952613 104668291