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106494947 = 1333124749
BaseRepresentation
bin1100101100011…
…11101111100011
321102101111121022
412112033233203
5204230314242
614322320055
72432122616
oct626175743
9242344538
10106494947
1155128259
122b7b902b
13190a8b80
141020217d
1595390d2
hex658fbe3

106494947 has 8 divisors (see below), whose sum is σ = 115038000. Its totient is φ = 98002080.

The previous prime is 106494937. The next prime is 106494977. The reversal of 106494947 is 749494601.

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

It is a cyclic number.

It is not a de Polignac number, because 106494947 - 224 = 89717731 is a prime.

It is a super-3 number, since 3×1064949473 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106494898 and 106494907.

It is not an unprimeable number, because it can be changed into a prime (106494937) 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 7 ways as a sum of consecutive naturals, for example, 8072 + ... + 16677.

It is an arithmetic number, because the mean of its divisors is an integer number (14379750).

Almost surely, 2106494947 is an apocalyptic number.

106494947 is a deficient number, since it is larger than the sum of its proper divisors (8543053).

106494947 is a wasteful number, since it uses less digits than its factorization.

106494947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25093.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 106494947 is about 10319.6388987212. The cubic root of 106494947 is about 473.9978086862.

The spelling of 106494947 in words is "one hundred six million, four hundred ninety-four thousand, nine hundred forty-seven".

Divisors: 1 13 331 4303 24749 321737 8191919 106494947