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103999506 = 231317107733
BaseRepresentation
bin1100011001011…
…10100000010010
321020200201111120
412030232200102
5203110441011
614153023110
72401660362
oct614564022
9236621446
10103999506
1153783406
122a9b4a96
1318714090
14db529a2
1591e4a06
hex632e812

103999506 has 64 divisors (see below), whose sum is σ = 239718528. Its totient is φ = 29795328.

The previous prime is 103999501. The next prime is 103999507. The reversal of 103999506 is 605999301.

It is not an unprimeable number, because it can be changed into a prime (103999501) 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 31 ways as a sum of consecutive naturals, for example, 141516 + ... + 142248.

It is an arithmetic number, because the mean of its divisors is an integer number (3745602).

Almost surely, 2103999506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103999506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119859264).

103999506 is an abundant number, since it is smaller than the sum of its proper divisors (135719022).

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

103999506 is a wasteful number, since it uses less digits than its factorization.

103999506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 103999506 is about 10198.0148068141. The cubic root of 103999506 is about 470.2661929537.

The spelling of 103999506 in words is "one hundred three million, nine hundred ninety-nine thousand, five hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 107 214 221 321 442 642 663 733 1326 1391 1466 1819 2199 2782 3638 4173 4398 5457 8346 9529 10914 12461 19058 23647 24922 28587 37383 47294 57174 70941 74766 78431 141882 156862 161993 235293 323986 470586 485979 971958 1019603 1333327 2039206 2666654 3058809 3999981 6117618 7999962 17333251 34666502 51999753 103999506