106610011120 has 40 divisors (see below), whose sum is σ = 256415463360. Its totient is φ = 41173520640.

The previous prime is 106610011051. The next prime is 106610011121. The reversal of 106610011120 is 21110016601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106610011120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106610011121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22973976 + ... + 22978615.

It is an arithmetic number, because the mean of its divisors is an integer number (6410386584).

Almost surely, 2^106610011120 is an apocalyptic number.

106610011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106610011120 is an abundant number, since it is smaller than the sum of its proper divisors (149805452240).

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

106610011120 is a wasteful number, since it uses less digits than its factorization.

106610011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45952633 (or 45952627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 106610011120 its reverse (21110016601), we get a palindrome (127720027721).

The spelling of 106610011120 in words is "one hundred six billion, six hundred ten million, eleven thousand, one hundred twenty".