106388385 has 32 divisors (see below), whose sum is σ = 177120000. Its totient is φ = 54464256.

The previous prime is 106388377. The next prime is 106388389. The reversal of 106388385 is 583883601.

It is not a de Polignac number, because 106388385 - 2³ = 106388377 is a prime.

It is a super-2 number, since 2×106388385² = 22636976925816450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106388389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85951 + ... + 87179.

It is an arithmetic number, because the mean of its divisors is an integer number (5535000).

It is the magic constant of a 597 × 597 magic square.

Almost surely, 2^106388385 is an apocalyptic number.

106388385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106388385 is a deficient number, since it is larger than the sum of its proper divisors (70731615).

106388385 is a wasteful number, since it uses less digits than its factorization.

106388385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 106388385 is about 10314.4745382399. The cubic root of 106388385 is about 473.8396571726.

The spelling of 106388385 in words is "one hundred six million, three hundred eighty-eight thousand, three hundred eighty-five".