106005110111010 has 48 divisors (see below), whose sum is σ = 300669039590400. Its totient is φ = 25698208511520.

The previous prime is 106005110111003. The next prime is 106005110111011. The reversal of 106005110111010 is 10111011500601.

It is a happy number.

106005110111010 is a `hidden beast` number, since 1 + 0 + 600 + 51 + 1 + 0 + 1 + 1 + 1 + 0 + 10 = 666.

It is a super-2 number, since 2×106005110111010² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106005110111011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53537933410 + ... + 53537935389.

It is an arithmetic number, because the mean of its divisors is an integer number (6263938324800).

Almost surely, 2^{106005110111010} is an apocalyptic number.

106005110111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005110111010 is an abundant number, since it is smaller than the sum of its proper divisors (194663929479390).

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

106005110111010 is a wasteful number, since it uses less digits than its factorization.

106005110111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107075868823 (or 107075868820 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 106005110111010 its reverse (10111011500601), we get a palindrome (116116121611611).

The spelling of 106005110111010 in words is "one hundred six trillion, five billion, one hundred ten million, one hundred eleven thousand, ten".