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107208153 = 32134122349
BaseRepresentation
bin1100110001111…
…01110111011001
321110201201221100
412120331313121
5204421130103
614345502013
72441153133
oct630756731
9243651840
10107208153
1155575088
122baa1909
13192986a0
141034a053
15962a5a3
hex663ddd9

107208153 has 24 divisors (see below), whose sum is σ = 170843400. Its totient is φ = 64362240.

The previous prime is 107208151. The next prime is 107208161. The reversal of 107208153 is 351802701.

It can be written as a sum of positive squares in 4 ways, for example, as 7767369 + 99440784 = 2787^2 + 9972^2 .

It is not a de Polignac number, because 107208153 - 21 = 107208151 is a prime.

It is a super-2 number, since 2×1072081532 = 22987176139342818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107208151) 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 23 ways as a sum of consecutive naturals, for example, 6378 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (7118475).

Almost surely, 2107208153 is an apocalyptic number.

107208153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107208153 is a deficient number, since it is larger than the sum of its proper divisors (63635247).

107208153 is a wasteful number, since it uses less digits than its factorization.

107208153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22409 (or 22406 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107208153 is about 10354.1369992868. The cubic root of 107208153 is about 475.0535902602.

The spelling of 107208153 in words is "one hundred seven million, two hundred eight thousand, one hundred fifty-three".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 22349 67047 201141 290537 871611 916309 2614833 2748927 8246781 11912017 35736051 107208153