106105600110 has 32 divisors (see below), whose sum is σ = 254662071840. Its totient is φ = 28293867648.

The previous prime is 106105600063. The next prime is 106105600123. The reversal of 106105600110 is 11006501601.

It is a super-2 number, since 2×106105600110² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1539876 + ... + 1607304.

It is an arithmetic number, because the mean of its divisors is an integer number (7958189745).

Almost surely, 2^106105600110 is an apocalyptic number.

106105600110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105600110 is an abundant number, since it is smaller than the sum of its proper divisors (148556471730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106105600110 is a wasteful number, since it uses less digits than its factorization.

106105600110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119892.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 106105600110 in words is "one hundred six billion, one hundred five million, six hundred thousand, one hundred ten".