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104354325 = 3452291777
BaseRepresentation
bin1100011100001…
…01001000010101
321021100202020000
412032011020111
5203203314300
614204401513
72404666005
oct616051025
9237322200
10104354325
11539a5a49
122ab46299
131880972a
14dc06005
159264c00
hex6385215

104354325 has 60 divisors (see below), whose sum is σ = 200078340. Its totient is φ = 53706240.

The previous prime is 104354321. The next prime is 104354329. The reversal of 104354325 is 523453401.

It is an interprime number because it is at equal distance from previous prime (104354321) and next prime (104354329).

It can be written as a sum of positive squares in 6 ways, for example, as 1656369 + 102697956 = 1287^2 + 10134^2 .

It is not a de Polignac number, because 104354325 - 22 = 104354321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104354321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57837 + ... + 59613.

It is an arithmetic number, because the mean of its divisors is an integer number (3334639).

Almost surely, 2104354325 is an apocalyptic number.

104354325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104354325 is a deficient number, since it is larger than the sum of its proper divisors (95724015).

104354325 is a wasteful number, since it uses less digits than its factorization.

104354325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 104354325 is about 10215.3964680770. The cubic root of 104354325 is about 470.8003941419.

The spelling of 104354325 in words is "one hundred four million, three hundred fifty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 1777 2025 2175 2349 3915 5331 6525 8885 11745 15993 19575 26655 44425 47979 51533 58725 79965 133275 143937 154599 239895 257665 399825 463797 719685 772995 1199475 1288325 1391391 2318985 3598425 3864975 4174173 6956955 11594925 20870865 34784775 104354325