106027812000 has 768 divisors, whose sum is σ = 434759270400. Its totient is φ = 24865920000.

The previous prime is 106027811977. The next prime is 106027812001. The reversal of 106027812000 is 218720601.

106027812000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×106027812000⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106027812001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36826561 + ... + 36829439.

It is an arithmetic number, because the mean of its divisors is an integer number (566092800).

Almost surely, 2^106027812000 is an apocalyptic number.

106027812000 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 106027812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217379635200).

106027812000 is an abundant number, since it is smaller than the sum of its proper divisors (328731458400).

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

106027812000 is a wasteful number, since it uses less digits than its factorization.

106027812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 106027812000 in words is "one hundred six billion, twenty-seven million, eight hundred twelve thousand".