106821855 has 32 divisors (see below), whose sum is σ = 217036800. Its totient is φ = 48832416.

The previous prime is 106821823. The next prime is 106821893. The reversal of 106821855 is 558128601.

It is not a de Polignac number, because 106821855 - 2⁵ = 106821823 is a prime.

It is a super-2 number, since 2×106821855² = 22821817411282050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55575 + ... + 57464.

It is an arithmetic number, because the mean of its divisors is an integer number (6782400).

Almost surely, 2^106821855 is an apocalyptic number.

106821855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106821855 is an abundant number, since it is smaller than the sum of its proper divisors (110214945).

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

106821855 is a wasteful number, since it uses less digits than its factorization.

106821855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113060 (or 113054 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 106821855 is about 10335.4658820974. The cubic root of 106821855 is about 474.4823242927.

The spelling of 106821855 in words is "one hundred six million, eight hundred twenty-one thousand, eight hundred fifty-five".