106210836 has 72 divisors (see below), whose sum is σ = 291782400. Its totient is φ = 32451840.

The previous prime is 106210813. The next prime is 106210837. The reversal of 106210836 is 638012601.

106210836 is a `hidden beast` number, since 1 + 0 + 621 + 0 + 8 + 36 = 666.

It is a super-2 number, since 2×106210836² = 22561483367637792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106210837) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18700 + ... + 23708.

Almost surely, 2^106210836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106210836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145891200).

106210836 is an abundant number, since it is smaller than the sum of its proper divisors (185571564).

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

106210836 is a wasteful number, since it uses less digits than its factorization.

106210836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106210836 is about 10305.8641559066. The cubic root of 106210836 is about 473.5759172245.

The spelling of 106210836 in words is "one hundred six million, two hundred ten thousand, eight hundred thirty-six".