106385745 has 32 divisors (see below), whose sum is σ = 182545920. Its totient is φ = 52715520.

The previous prime is 106385737. The next prime is 106385753. The reversal of 106385745 is 547583601.

It is an interprime number because it is at equal distance from previous prime (106385737) and next prime (106385753).

It is not a de Polignac number, because 106385745 - 2³ = 106385737 is a prime.

It is a super-2 number, since 2×106385745² = 22635853478410050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17505 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (5704560).

Almost surely, 2^106385745 is an apocalyptic number.

106385745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106385745 is a deficient number, since it is larger than the sum of its proper divisors (76160175).

106385745 is a wasteful number, since it uses less digits than its factorization.

106385745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 106385745 is about 10314.3465619495. The cubic root of 106385745 is about 473.8357377377.

The spelling of 106385745 in words is "one hundred six million, three hundred eighty-five thousand, seven hundred forty-five".