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104106648 = 233231511249
BaseRepresentation
bin1100011010010…
…00101010011000
321020220011110210
412031020222120
5203122403043
614155211120
72402614632
oct615105230
9236804423
10104106648
1153846958
122aa46aa0
1318750a89
14db7da52
159216633
hex6348a98

104106648 has 64 divisors (see below), whose sum is σ = 273600000. Its totient is φ = 32947200.

The previous prime is 104106647. The next prime is 104106679. The reversal of 104106648 is 846601401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104106647) 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 15 ways as a sum of consecutive naturals, for example, 82728 + ... + 83976.

It is an arithmetic number, because the mean of its divisors is an integer number (4275000).

Almost surely, 2104106648 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 104106648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800000).

104106648 is an abundant number, since it is smaller than the sum of its proper divisors (169493352).

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

104106648 is a wasteful number, since it uses less digits than its factorization.

104106648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 104106648 is about 10203.2665357718. The cubic root of 104106648 is about 470.4276295146.

The spelling of 104106648 in words is "one hundred four million, one hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 151 184 276 302 453 552 604 906 1208 1249 1812 2498 3473 3624 3747 4996 6946 7494 9992 10419 13892 14988 20838 27784 28727 29976 41676 57454 83352 86181 114908 172362 188599 229816 344724 377198 565797 689448 754396 1131594 1508792 2263188 4337777 4526376 8675554 13013331 17351108 26026662 34702216 52053324 104106648