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103958097 = 3312107337
BaseRepresentation
bin1100011001001…
…00011001010001
321020121121200220
412030210121101
5203103124342
614152103253
72401425555
oct614443121
9236547626
10103958097
1153755291
122a994b29
13186cb289
14db41865
1591d75ec
hex6324651

103958097 has 24 divisors (see below), whose sum is σ = 144993888. Its totient is φ = 66245760.

The previous prime is 103958093. The next prime is 103958119. The reversal of 103958097 is 790859301.

It is a happy number.

It is not a de Polignac number, because 103958097 - 22 = 103958093 is a prime.

It is a super-2 number, since 2×1039580972 = 21614571863722818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103958093) 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 23 ways as a sum of consecutive naturals, for example, 308313 + ... + 308649.

It is an arithmetic number, because the mean of its divisors is an integer number (6041412).

Almost surely, 2103958097 is an apocalyptic number.

It is an amenable number.

103958097 is a deficient number, since it is larger than the sum of its proper divisors (41035791).

103958097 is a wasteful number, since it uses less digits than its factorization.

103958097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 103958097 is about 10195.9843565984. The cubic root of 103958097 is about 470.2037700998.

The spelling of 103958097 in words is "one hundred three million, nine hundred fifty-eight thousand, ninety-seven".

Divisors: 1 3 31 93 107 321 337 961 1011 2883 3317 9951 10447 31341 36059 102827 108177 308481 323857 971571 1117829 3353487 34652699 103958097