106033461105 has 128 divisors (see below), whose sum is σ = 208323601920. Its totient is φ = 45344194560.

The previous prime is 106033461097. The next prime is 106033461119. The reversal of 106033461105 is 501164330601.

It is not a de Polignac number, because 106033461105 - 2³ = 106033461097 is a prime.

It is a super-2 number, since 2×106033461105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6025099 + ... + 6042671.

It is an arithmetic number, because the mean of its divisors is an integer number (1627528140).

Almost surely, 2^106033461105 is an apocalyptic number.

106033461105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106033461105 is a deficient number, since it is larger than the sum of its proper divisors (102290140815).

106033461105 is a wasteful number, since it uses less digits than its factorization.

106033461105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17731.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 106033461105 its reverse (501164330601), we get a palindrome (607197791706).

The spelling of 106033461105 in words is "one hundred six billion, thirty-three million, four hundred sixty-one thousand, one hundred five".