106112411000 has 256 divisors, whose sum is σ = 267152670720. Its totient is φ = 39372480000.

The previous prime is 106112410991. The next prime is 106112411017. The reversal of 106112411000 is 114211601.

It is a Cunningham number, because it is equal to 325749²-1.

It is a super-2 number, since 2×106112411000² (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 106112411000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81436349 + ... + 81437651.

It is an arithmetic number, because the mean of its divisors is an integer number (1043565120).

Almost surely, 2^106112411000 is an apocalyptic number.

106112411000 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 106112411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133576335360).

106112411000 is an abundant number, since it is smaller than the sum of its proper divisors (161040259720).

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

106112411000 is a wasteful number, since it uses less digits than its factorization.

106112411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 106112411000 its reverse (114211601), we get a palindrome (106226622601).

The spelling of 106112411000 in words is "one hundred six billion, one hundred twelve million, four hundred eleven thousand".