106616212120 has 96 divisors (see below), whose sum is σ = 263794476960. Its totient is φ = 38752243200.

The previous prime is 106616212093. The next prime is 106616212121. The reversal of 106616212120 is 21212616601.

It is a super-2 number, since 2×106616212120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106616212121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16757740 + ... + 16764100.

It is an arithmetic number, because the mean of its divisors is an integer number (2747859135).

Almost surely, 2^106616212120 is an apocalyptic number.

106616212120 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 106616212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131897238480).

106616212120 is an abundant number, since it is smaller than the sum of its proper divisors (157178264840).

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

106616212120 is a wasteful number, since it uses less digits than its factorization.

106616212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 106616212120 its reverse (21212616601), we get a palindrome (127828828721).

The spelling of 106616212120 in words is "one hundred six billion, six hundred sixteen million, two hundred twelve thousand, one hundred twenty".