106891335 has 48 divisors (see below), whose sum is σ = 194841504. Its totient is φ = 54141696.

The previous prime is 106891307. The next prime is 106891399. The reversal of 106891335 is 533198601.

It is a happy number.

It is not a de Polignac number, because 106891335 - 2⁶ = 106891271 is a prime.

It is a super-2 number, since 2×106891335² = 22851514996164450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106891335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70849 + ... + 72341.

It is an arithmetic number, because the mean of its divisors is an integer number (4059198).

Almost surely, 2^106891335 is an apocalyptic number.

106891335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106891335 is a deficient number, since it is larger than the sum of its proper divisors (87950169).

106891335 is a wasteful number, since it uses less digits than its factorization.

106891335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106891335 is about 10338.8265775184. The cubic root of 106891335 is about 474.5851743038.

The spelling of 106891335 in words is "one hundred six million, eight hundred ninety-one thousand, three hundred thirty-five".