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103999104 = 27321129283
BaseRepresentation
bin1100011001011…
…10011010000000
321020200200221200
412030232122000
5203110432404
614153021200
72401656246
oct614563200
9236620850
10103999104
1153783080
122a9b4800
1318713b41
14db52796
1591e4839
hex632e680

103999104 has 192 divisors, whose sum is σ = 338925600. Its totient is φ = 30320640.

The previous prime is 103999099. The next prime is 103999111. The reversal of 103999104 is 401999301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 367347 + ... + 367629.

Almost surely, 2103999104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169462800).

103999104 is an abundant number, since it is smaller than the sum of its proper divisors (234926496).

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

103999104 is a wasteful number, since it uses less digits than its factorization.

103999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 103999104 is about 10197.9950970767. The cubic root of 103999104 is about 470.2655870301.

It can be divided in two parts, 10399 and 9104, that added together give a triangular number (19503 = T197).

The spelling of 103999104 in words is "one hundred three million, nine hundred ninety-nine thousand, one hundred four".