106211512000 has 224 divisors, whose sum is σ = 303828273216. Its totient is φ = 36349952000.

The previous prime is 106211511953. The next prime is 106211512027. The reversal of 106211512000 is 215112601.

It is a super-2 number, since 2×106211512000² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1460502 + ... + 1531498.

Almost surely, 2^106211512000 is an apocalyptic number.

106211512000 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 106211512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914136608).

106211512000 is an abundant number, since it is smaller than the sum of its proper divisors (197616761216).

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

106211512000 is a wasteful number, since it uses less digits than its factorization.

106211512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71052 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 106211512000 its reverse (215112601), we get a palindrome (106426624601).

The spelling of 106211512000 in words is "one hundred six billion, two hundred eleven million, five hundred twelve thousand".