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104805000 = 23325417137
BaseRepresentation
bin1100011111100…
…11001010001000
321022012122102200
412033303022020
5203312230000
614222200200
72411553636
oct617631210
9238178380
10104805000
1154183603
122b123060
13189368c1
14dcc2356
159303500
hex63f3288

104805000 has 240 divisors, whose sum is σ = 378300780. Its totient is φ = 26112000.

The previous prime is 104804989. The next prime is 104805011. The reversal of 104805000 is 508401.

104805000 = 2612 + 2622 + ... + 6922.

It is an interprime number because it is at equal distance from previous prime (104804989) and next prime (104805011).

It can be written as a sum of positive squares in 10 ways, for example, as 887364 + 103917636 = 942^2 + 10194^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 764932 + ... + 765068.

Almost surely, 2104805000 is an apocalyptic number.

104805000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150390).

104805000 is an abundant number, since it is smaller than the sum of its proper divisors (273495780).

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

104805000 is a wasteful number, since it uses less digits than its factorization.

104805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104805000 is about 10237.4313184509. The cubic root of 104805000 is about 471.4771693309.

The spelling of 104805000 in words is "one hundred four million, eight hundred five thousand".