Search a number
-
+
107103636 = 22323195971
BaseRepresentation
bin1100110001001…
…00010110010100
321110112102120100
412120210112110
5204404304021
614343334100
72440236333
oct630442624
9243472510
10107103636
1155503602
122ba51330
131925cc43
141031dd1a
159609626
hex6624594

107103636 has 36 divisors (see below), whose sum is σ = 279470464. Its totient is φ = 34549200.

The previous prime is 107103631. The next prime is 107103637. The reversal of 107103636 is 636301701.

107103636 is a `hidden beast` number, since 10 + 7 + 10 + 3 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1071036362 = 22942377688840992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107103631) 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 11 ways as a sum of consecutive naturals, for example, 46870 + ... + 49101.

Almost surely, 2107103636 is an apocalyptic number.

It is an amenable number.

107103636 is an abundant number, since it is smaller than the sum of its proper divisors (172366828).

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

107103636 is a wasteful number, since it uses less digits than its factorization.

107103636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96012 (or 96007 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107103636 is about 10349.0886555290. The cubic root of 107103636 is about 474.8991638216.

The spelling of 107103636 in words is "one hundred seven million, one hundred three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 95971 191942 287913 383884 575826 863739 1151652 1727478 2975101 3454956 5950202 8925303 11900404 17850606 26775909 35701212 53551818 107103636