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104164675100 = 22527146331687
BaseRepresentation
bin110000100000010110…
…0101100111000011100
3100221212102012202110122
41201000230230320130
53201312124100400
6115504054254112
710345204062263
oct1410054547034
9327772182418
10104164675100
11401a3275152
1218230657338
139a9059a835
1450821dd5da
152a99b8c685
hex1840b2ce1c

104164675100 has 72 divisors (see below), whose sum is σ = 229723296768. Its totient is φ = 40989009600.

The previous prime is 104164675067. The next prime is 104164675103. The reversal of 104164675100 is 1576461401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104164675103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271457 + ... + 3303143.

It is an arithmetic number, because the mean of its divisors is an integer number (3190601344).

Almost surely, 2104164675100 is an apocalyptic number.

104164675100 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 104164675100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114861648384).

104164675100 is an abundant number, since it is smaller than the sum of its proper divisors (125558621668).

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

104164675100 is a wasteful number, since it uses less digits than its factorization.

104164675100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32235 (or 32228 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 104164675100 in words is "one hundred four billion, one hundred sixty-four million, six hundred seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 463 710 926 1420 1775 1852 2315 3550 4630 7100 9260 11575 23150 31687 32873 46300 63374 65746 126748 131492 158435 164365 316870 328730 633740 657460 792175 821825 1584350 1643650 2249777 3168700 3287300 4499554 8999108 11248885 14671081 22497770 29342162 44995540 56244425 58684324 73355405 112488850 146710810 224977700 293421620 366777025 733554050 1041646751 1467108100 2083293502 4166587004 5208233755 10416467510 20832935020 26041168775 52082337550 104164675100