106011111660 has 48 divisors (see below), whose sum is σ = 304853581536. Its totient is φ = 27505585152.

The previous prime is 106011111601. The next prime is 106011111707. The reversal of 106011111660 is 66111110601.

It is a super-2 number, since 2×106011111660² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106011111660.

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 15 ways as a sum of consecutive naturals, for example, 23874157 + ... + 23878596.

It is an arithmetic number, because the mean of its divisors is an integer number (6351116282).

Almost surely, 2^106011111660 is an apocalyptic number.

106011111660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011111660 is an abundant number, since it is smaller than the sum of its proper divisors (198842469876).

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

106011111660 is a wasteful number, since it uses less digits than its factorization.

106011111660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47752802 (or 47752800 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 106011111660 in words is "one hundred six billion, eleven million, one hundred eleven thousand, six hundred sixty".