106210116 has 30 divisors (see below), whose sum is σ = 277655070. Its totient is φ = 35403264.

The previous prime is 106210103. The next prime is 106210127. The reversal of 106210116 is 611012601.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 202500 = 10296^2 + 450^2 .

It is a super-2 number, since 2×106210116² = 22561177481466912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163581 + ... + 164228.

It is an arithmetic number, because the mean of its divisors is an integer number (9255169).

Almost surely, 2^106210116 is an apocalyptic number.

It is an amenable number.

106210116 is an abundant number, since it is smaller than the sum of its proper divisors (171444954).

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

106210116 is a wasteful number, since it uses less digits than its factorization.

106210116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327825 (or 327814 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106210116 is about 10305.8292242788. The cubic root of 106210116 is about 473.5748471032.

Adding to 106210116 its reverse (611012601), we get a palindrome (717222717).

It can be divided in two parts, 10 and 6210116, that added together give a palindrome (6210126).

The spelling of 106210116 in words is "one hundred six million, two hundred ten thousand, one hundred sixteen".