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105606053 = 763123909
BaseRepresentation
bin1100100101101…
…10101110100101
321100201100021022
412102312232211
5204013343203
614251300525
72421431240
oct622665645
9240640238
10105606053
1154680433
122b44a745
1318b573b7
1410050257
159410a38
hex64b6ba5

105606053 has 8 divisors (see below), whose sum is σ = 120888960. Its totient is φ = 90372240.

The previous prime is 105606013. The next prime is 105606077. The reversal of 105606053 is 350606501.

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

It is not a de Polignac number, because 105606053 - 212 = 105601957 is a prime.

It is a super-3 number, since 3×1056060533 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (105606013) 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, 7538 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (15111120).

Almost surely, 2105606053 is an apocalyptic number.

It is an amenable number.

105606053 is a deficient number, since it is larger than the sum of its proper divisors (15282907).

105606053 is an equidigital number, since it uses as much as digits as its factorization.

105606053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24547.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 105606053 is about 10276.4805745936. The cubic root of 105606053 is about 472.6753311038.

The spelling of 105606053 in words is "one hundred five million, six hundred six thousand, fifty-three".

Divisors: 1 7 631 4417 23909 167363 15086579 105606053