106181603 has 16 divisors (see below), whose sum is σ = 120794112. Its totient is φ = 92460000.

The previous prime is 106181597. The next prime is 106181617. The reversal of 106181603 is 306181601.

It is a cyclic number.

It is not a de Polignac number, because 106181603 - 2¹⁸ = 105919459 is a prime.

It is a super-2 number, since 2×106181603² = 22549065631299218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106181003) 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, 32900 + ... + 35982.

It is an arithmetic number, because the mean of its divisors is an integer number (7549632).

Almost surely, 2^106181603 is an apocalyptic number.

106181603 is a deficient number, since it is larger than the sum of its proper divisors (14612509).

106181603 is a wasteful number, since it uses less digits than its factorization.

106181603 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 106181603 is about 10304.4457881052. The cubic root of 106181603 is about 473.5324649252.

It can be divided in two parts, 10618 and 1603, that added together give a palindrome (12221).

The spelling of 106181603 in words is "one hundred six million, one hundred eighty-one thousand, six hundred three".