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106903512 = 23322951199
BaseRepresentation
bin1100101111100…
…11011111011000
321110011021001100
412113303133120
5204331403022
614335151400
72435444022
oct627633730
9243137040
10106903512
1155387211
122b975560
13191bcb21
14102ab012
1595ba1ac
hex65f37d8

106903512 has 48 divisors (see below), whose sum is σ = 299520000. Its totient is φ = 34405056.

The previous prime is 106903499. The next prime is 106903513. The reversal of 106903512 is 215309601.

It is a super-2 number, since 2×1069035122 = 22856721755868288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106903513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23512 + ... + 27687.

It is an arithmetic number, because the mean of its divisors is an integer number (6240000).

Almost surely, 2106903512 is an apocalyptic number.

106903512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106903512 is an abundant number, since it is smaller than the sum of its proper divisors (192616488).

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

106903512 is a wasteful number, since it uses less digits than its factorization.

106903512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51240 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106903512 is about 10339.4154573651. The cubic root of 106903512 is about 474.6031951104.

The spelling of 106903512 in words is "one hundred six million, nine hundred three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 51199 102398 153597 204796 307194 409592 460791 614388 921582 1228776 1484771 1843164 2969542 3686328 4454313 5939084 8908626 11878168 13362939 17817252 26725878 35634504 53451756 106903512