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104661167 = 1353151903
BaseRepresentation
bin1100011110100…
…00000010101111
321021221100010112
412033100002233
5203243124132
614215130235
72410414412
oct617200257
9237840115
10104661167
1154095536
122b07397b
13188b62b0
14dc85b79
1592c5ab2
hex63d00af

104661167 has 8 divisors (see below), whose sum is σ = 114839424. Its totient is φ = 94786848.

The previous prime is 104661143. The next prime is 104661187. The reversal of 104661167 is 761166401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 104661167 - 212 = 104657071 is a prime.

It is a super-3 number, since 3×1046611673 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104661187) 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 7 ways as a sum of consecutive naturals, for example, 75263 + ... + 76640.

It is an arithmetic number, because the mean of its divisors is an integer number (14354928).

Almost surely, 2104661167 is an apocalyptic number.

104661167 is a deficient number, since it is larger than the sum of its proper divisors (10178257).

104661167 is a wasteful number, since it uses less digits than its factorization.

104661167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151969.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 104661167 is about 10230.4040487167. The cubic root of 104661167 is about 471.2613875720.

The spelling of 104661167 in words is "one hundred four million, six hundred sixty-one thousand, one hundred sixty-seven".

Divisors: 1 13 53 689 151903 1974739 8050859 104661167