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104101020 = 223251733343
BaseRepresentation
bin1100011010001…
…11010010011100
321020212212202100
412031013102130
5203122213040
614155125100
72402562342
oct615072234
9236785670
10104101020
1153842701
122aa43790
131874b34a
14db7b992
159214b30
hex634749c

104101020 has 72 divisors (see below), whose sum is σ = 317693376. Its totient is φ = 27591552.

The previous prime is 104101001. The next prime is 104101021. The reversal of 104101020 is 20101401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 104100993 and 104101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104101021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29469 + ... + 32811.

It is an arithmetic number, because the mean of its divisors is an integer number (4412408).

Almost surely, 2104101020 is an apocalyptic number.

104101020 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 104101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158846688).

104101020 is an abundant number, since it is smaller than the sum of its proper divisors (213592356).

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

104101020 is a wasteful number, since it uses less digits than its factorization.

104101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 104101020 is about 10202.9907380140. The cubic root of 104101020 is about 470.4191522641.

Adding to 104101020 its reverse (20101401), we get a palindrome (124202421).

It can be divided in two parts, 104 and 101020, that added together give a square (101124 = 3182).

The spelling of 104101020 in words is "one hundred four million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3343 3460 5190 6228 6686 7785 10029 10380 13372 15570 16715 20058 30087 31140 33430 40116 50145 60174 66860 100290 120348 150435 200580 300870 578339 601740 1156678 1735017 2313356 2891695 3470034 5205051 5783390 6940068 8675085 10410102 11566780 17350170 20820204 26025255 34700340 52050510 104101020