106111106055660 has 432 divisors, whose sum is σ = 319492004670720. Its totient is φ = 26307435264000.

The previous prime is 106111106055653. The next prime is 106111106055679. The reversal of 106111106055660 is 66550601111601.

It is a super-2 number, since 2×106111106055660² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 253248462931 + ... + 253248463349.

Almost surely, 2^{106111106055660} is an apocalyptic number.

106111106055660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106111106055660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159746002335360).

106111106055660 is an abundant number, since it is smaller than the sum of its proper divisors (213380898615060).

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

106111106055660 is a wasteful number, since it uses less digits than its factorization.

106111106055660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 106111106055660 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-five thousand, six hundred sixty".