106001000016 has 40 divisors (see below), whose sum is σ = 274539913440. Its totient is φ = 35242828416.

The previous prime is 106000999987. The next prime is 106001000107. The reversal of 106001000016 is 610000100601.

It is a super-2 number, since 2×106001000016² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106000999959 and 106001000004.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2819830 + ... + 2857173.

It is an arithmetic number, because the mean of its divisors is an integer number (6863497836).

Almost surely, 2^106001000016 is an apocalyptic number.

106001000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106001000016 is an abundant number, since it is smaller than the sum of its proper divisors (168538913424).

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

106001000016 is a wasteful number, since it uses less digits than its factorization.

106001000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677403 (or 5677397 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 106001000016 its reverse (610000100601), we get a palindrome (716001100617).

The spelling of 106001000016 in words is "one hundred six billion, one million, sixteen", and thus it is an aban number.