106001101006110 has 32 divisors (see below), whose sum is σ = 282669602683680. Its totient is φ = 28266960268224.

The previous prime is 106001101006079. The next prime is 106001101006187. The reversal of 106001101006110 is 11600101100601.

106001101006110 is a `hidden beast` number, since 1 + 0 + 600 + 1 + 1 + 0 + 1 + 0 + 0 + 61 + 1 + 0 = 666.

It is a super-3 number, since 3×106001101006110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196298334927 + ... + 196298335466.

It is an arithmetic number, because the mean of its divisors is an integer number (8833425083865).

Almost surely, 2^{106001101006110} is an apocalyptic number.

106001101006110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106001101006110 is an abundant number, since it is smaller than the sum of its proper divisors (176668501677570).

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

106001101006110 is a wasteful number, since it uses less digits than its factorization.

106001101006110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392596670409 (or 392596670403 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 106001101006110 its reverse (11600101100601), we get a palindrome (117601202106711).

The spelling of 106001101006110 in words is "one hundred six trillion, one billion, one hundred one million, six thousand, one hundred ten".