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106910304 = 2539971117
BaseRepresentation
bin1100101111101…
…01001001100000
321110011121100220
412113311021200
5204332112204
614335243040
72435502564
oct627651140
9243147326
10106910304
1155391326
122b979480
13191c2c47
14102ad6a4
1595bc1d9
hex65f5260

106910304 has 48 divisors (see below), whose sum is σ = 281172528. Its totient is φ = 35569152.

The previous prime is 106910299. The next prime is 106910311. The reversal of 106910304 is 403019601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1069103042 = 22859626202744832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 95154 + ... + 96270.

It is an arithmetic number, because the mean of its divisors is an integer number (5857761).

Almost surely, 2106910304 is an apocalyptic number.

It is an amenable number.

106910304 is an abundant number, since it is smaller than the sum of its proper divisors (174262224).

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

106910304 is a wasteful number, since it uses less digits than its factorization.

106910304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106910304 is about 10339.7439039852. The cubic root of 106910304 is about 474.6132460326.

Adding to 106910304 its reverse (403019601), we get a palindrome (509929905).

The spelling of 106910304 in words is "one hundred six million, nine hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 997 1117 1994 2234 2991 3351 3988 4468 5982 6702 7976 8936 11964 13404 15952 17872 23928 26808 31904 35744 47856 53616 95712 107232 1113649 2227298 3340947 4454596 6681894 8909192 13363788 17818384 26727576 35636768 53455152 106910304