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106677461 = 1144921599
BaseRepresentation
bin1100101101111…
…00010011010101
321102201202222002
412112330103111
5204302134321
614330245045
72433513002
oct626742325
9242652862
10106677461
11552423a0
122b886785
1319140c77
141024c8a9
15957320b
hex65bc4d5

106677461 has 8 divisors (see below), whose sum is σ = 116640000. Its totient is φ = 96759040.

The previous prime is 106677437. The next prime is 106677463. The reversal of 106677461 is 164776601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106677461 is a prime.

It is a super-2 number, since 2×1066774612 = 22760161370813042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106677463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5861 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (14580000).

Almost surely, 2106677461 is an apocalyptic number.

106677461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106677461 is a deficient number, since it is larger than the sum of its proper divisors (9962539).

106677461 is a wasteful number, since it uses less digits than its factorization.

106677461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22059.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 106677461 is about 10328.4781550817. The cubic root of 106677461 is about 474.2684376807.

The spelling of 106677461 in words is "one hundred six million, six hundred seventy-seven thousand, four hundred sixty-one".

Divisors: 1 11 449 4939 21599 237589 9697951 106677461