106385553 has 12 divisors (see below), whose sum is σ = 154701300. Its totient is φ = 70446816.

The previous prime is 106385551. The next prime is 106385621. The reversal of 106385553 is 355583601.

106385553 is a `hidden beast` number, since 10 + 638 + 5 + 5 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28804689 + 77580864 = 5367^2 + 8808^2 .

It is not a de Polignac number, because 106385553 - 2¹ = 106385551 is a prime.

It is a super-2 number, since 2×106385553² = 22635771774231618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106385551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38326 + ... + 41007.

It is an arithmetic number, because the mean of its divisors is an integer number (12891775).

Almost surely, 2^106385553 is an apocalyptic number.

It is an amenable number.

106385553 is a deficient number, since it is larger than the sum of its proper divisors (48315747).

106385553 is a wasteful number, since it uses less digits than its factorization.

106385553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79488 (or 79485 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 106385553 is about 10314.3372545210. The cubic root of 106385553 is about 473.8354526854.

The spelling of 106385553 in words is "one hundred six million, three hundred eighty-five thousand, five hundred fifty-three".