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103934961 = 33133753151
BaseRepresentation
bin1100011000111…
…10101111110001
321020120102222000
412030132233301
5203101404321
614151404213
72401301244
oct614365761
9236512860
10103934961
1153739969
122a983669
13186c08a0
14db3725b
1591d0826
hex631ebf1

103934961 has 64 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 60652800.

The previous prime is 103934951. The next prime is 103934977. The reversal of 103934961 is 169439301.

It is a de Polignac number, because none of the positive numbers 2k-103934961 is a prime.

It is a super-2 number, since 2×1039349612 = 21604952236143042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103934951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688236 + ... + 688386.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2103934961 is an apocalyptic number.

It is an amenable number.

103934961 is a deficient number, since it is larger than the sum of its proper divisors (70731279).

103934961 is a wasteful number, since it uses less digits than its factorization.

103934961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 103934961 is about 10194.8497291525. The cubic root of 103934961 is about 470.1688860396.

The spelling of 103934961 in words is "one hundred three million, nine hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 27 37 39 53 111 117 151 159 333 351 453 477 481 689 999 1359 1431 1443 1961 1963 2067 4077 4329 5587 5883 5889 6201 8003 12987 16761 17649 17667 18603 24009 25493 50283 52947 53001 72027 72631 76479 104039 150849 216081 217893 229437 296111 312117 653679 688311 888333 936351 1961037 2664999 2809053 3849443 7994997 11548329 34644987 103934961