106077016000 has 112 divisors (see below), whose sum is σ = 264592429920. Its totient is φ = 42125107200.

The previous prime is 106077015937. The next prime is 106077016039. The reversal of 106077016000 is 610770601.

It is a super-2 number, since 2×106077016000² (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 106077016000.

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 15 ways as a sum of consecutive naturals, for example, 1064304 + ... + 1159696.

It is an arithmetic number, because the mean of its divisors is an integer number (2362432410).

Almost surely, 2^106077016000 is an apocalyptic number.

106077016000 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 106077016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132296214960).

106077016000 is an abundant number, since it is smaller than the sum of its proper divisors (158515413920).

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

106077016000 is an equidigital number, since it uses as much as digits as its factorization.

106077016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95559 (or 95539 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 106077016000 its reverse (610770601), we get a palindrome (106687786601).

The spelling of 106077016000 in words is "one hundred six billion, seventy-seven million, sixteen thousand".