106528743 has 32 divisors (see below), whose sum is σ = 162693120. Its totient is φ = 68856480.

The previous prime is 106528699. The next prime is 106528777. The reversal of 106528743 is 347825601.

It is not a de Polignac number, because 106528743 - 2¹⁰ = 106527719 is a prime.

It is a super-2 number, since 2×106528743² = 22696746170320098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106528698 and 106528707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106521743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160833 + ... + 161493.

It is an arithmetic number, because the mean of its divisors is an integer number (5084160).

Almost surely, 2^106528743 is an apocalyptic number.

106528743 is a deficient number, since it is larger than the sum of its proper divisors (56164377).

106528743 is a wasteful number, since it uses less digits than its factorization.

106528743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 106528743 is about 10321.2762292267. The cubic root of 106528743 is about 474.0479441970.

The spelling of 106528743 in words is "one hundred six million, five hundred twenty-eight thousand, seven hundred forty-three".