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104100420 = 223543157257
BaseRepresentation
bin1100011010001…
…11001001000100
321020212211221010
412031013021010
5203122203140
614155122220
72402560524
oct615071104
9236784833
10104100420
1153842206
122aa43370
131874aca8
14db7b684
159214880
hex6347244

104100420 has 96 divisors (see below), whose sum is σ = 301327488. Its totient is φ = 26836992.

The previous prime is 104100383. The next prime is 104100431. The reversal of 104100420 is 24001401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104100396 and 104100405.

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 31 ways as a sum of consecutive naturals, for example, 404932 + ... + 405188.

It is an arithmetic number, because the mean of its divisors is an integer number (3138828).

Almost surely, 2104100420 is an apocalyptic number.

104100420 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 104100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150663744).

104100420 is an abundant number, since it is smaller than the sum of its proper divisors (197227068).

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

104100420 is a wasteful number, since it uses less digits than its factorization.

104100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 104100420 is about 10202.9613348282. The cubic root of 104100420 is about 470.4182484880.

Adding to 104100420 its reverse (24001401), we get a palindrome (128101821).

The spelling of 104100420 in words is "one hundred four million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 157 172 215 257 258 314 430 471 514 516 628 645 771 785 860 942 1028 1285 1290 1542 1570 1884 2355 2570 2580 3084 3140 3855 4710 5140 6751 7710 9420 11051 13502 15420 20253 22102 27004 33153 33755 40349 40506 44204 55255 66306 67510 80698 81012 101265 110510 121047 132612 135020 161396 165765 201745 202530 221020 242094 331530 403490 405060 484188 605235 663060 806980 1210470 1735007 2420940 3470014 5205021 6940028 8675035 10410042 17350070 20820084 26025105 34700140 52050210 104100420