106010600016 has 160 divisors (see below), whose sum is σ = 305530444800. Its totient is φ = 31476971520.

The previous prime is 106010599979. The next prime is 106010600023. The reversal of 106010600016 is 610006010601.

It is a super-2 number, since 2×106010600016² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010599965 and 106010600001.

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 31 ways as a sum of consecutive naturals, for example, 19516821 + ... + 19522251.

It is an arithmetic number, because the mean of its divisors is an integer number (1909565280).

Almost surely, 2^106010600016 is an apocalyptic number.

106010600016 is a gapful number since it is divisible by the number (16) 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 106010600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152765222400).

106010600016 is an abundant number, since it is smaller than the sum of its proper divisors (199519844784).

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

106010600016 is a wasteful number, since it uses less digits than its factorization.

106010600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 106010600016 its reverse (610006010601), we get a palindrome (716016610617).

The spelling of 106010600016 in words is "one hundred six billion, ten million, six hundred thousand, sixteen".