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106898304 = 273475923
BaseRepresentation
bin1100101111100…
…10001110000000
321110010222220110
412113302032000
5204331221204
614335111320
72435422602
oct627621600
9243128813
10106898304
1155383307
122b972540
13191ba646
14102a9172
1595b8889
hex65f2380

106898304 has 64 divisors (see below), whose sum is σ = 290039040. Its totient is φ = 34868736.

The previous prime is 106898293. The next prime is 106898327. The reversal of 106898304 is 403898601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1068983042 = 22854494796152832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15087 + ... + 21009.

It is an arithmetic number, because the mean of its divisors is an integer number (4531860).

Almost surely, 2106898304 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 106898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145019520).

106898304 is an abundant number, since it is smaller than the sum of its proper divisors (183140736).

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

106898304 is an equidigital number, since it uses as much as digits as its factorization.

106898304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106898304 is about 10339.1636025357. The cubic root of 106898304 is about 474.5954879312.

The spelling of 106898304 in words is "one hundred six million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 5923 6016 9024 11846 17769 18048 23692 35538 47384 71076 94768 142152 189536 278381 284304 379072 556762 568608 758144 835143 1113524 1137216 1670286 2227048 2274432 3340572 4454096 6681144 8908192 13362288 17816384 26724576 35632768 53449152 106898304