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106642573 = 1931331547
BaseRepresentation
bin1100101101100…
…11110010001101
321102200000002221
412112303302031
5204300030243
614325415341
72433306202
oct626636215
9242600087
10106642573
1155219164
122b86a551
131912b11b
141023dca9
159567bed
hex65b3c8d

106642573 has 16 divisors (see below), whose sum is σ = 116439040. Its totient is φ = 97297200.

The previous prime is 106642531. The next prime is 106642583. The reversal of 106642573 is 375246601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106642573 - 221 = 104545421 is a prime.

It is a super-2 number, since 2×1066425732 = 22745276752120658, 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 (106642583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194686 + ... + 195232.

It is an arithmetic number, because the mean of its divisors is an integer number (7277440).

Almost surely, 2106642573 is an apocalyptic number.

It is an amenable number.

106642573 is a deficient number, since it is larger than the sum of its proper divisors (9796467).

106642573 is a wasteful number, since it uses less digits than its factorization.

106642573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 106642573 is about 10326.7890943894. The cubic root of 106642573 is about 474.2167301591.

The spelling of 106642573 in words is "one hundred six million, six hundred forty-two thousand, five hundred seventy-three".

Divisors: 1 19 31 331 547 589 6289 10261 10393 16957 181057 194959 322183 3440083 5612767 106642573