106610349 has 32 divisors (see below), whose sum is σ = 159408000. Its totient is φ = 62982144.

The previous prime is 106610327. The next prime is 106610363. The reversal of 106610349 is 943016601.

It is not a de Polignac number, because 106610349 - 2⁸ = 106610093 is a prime.

It is a super-2 number, since 2×106610349² = 22731533027803602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106610369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260457 + ... + 260865.

It is an arithmetic number, because the mean of its divisors is an integer number (4981500).

Almost surely, 2^106610349 is an apocalyptic number.

106610349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106610349 is a deficient number, since it is larger than the sum of its proper divisors (52797651).

106610349 is a wasteful number, since it uses less digits than its factorization.

106610349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 106610349 is about 10325.2287625989. The cubic root of 106610349 is about 474.1689609337.

The spelling of 106610349 in words is "one hundred six million, six hundred ten thousand, three hundred forty-nine".