106771335 has 16 divisors (see below), whose sum is σ = 186364800. Its totient is φ = 51767840.

The previous prime is 106771303. The next prime is 106771337. The reversal of 106771335 is 533177601.

It is not a de Polignac number, because 106771335 - 2⁵ = 106771303 is a prime.

It is a super-2 number, since 2×106771335² = 22800235955364450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106771296 and 106771305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106771337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323385 + ... + 323714.

It is an arithmetic number, because the mean of its divisors is an integer number (11647800).

Almost surely, 2^106771335 is an apocalyptic number.

106771335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106771335 is a deficient number, since it is larger than the sum of its proper divisors (79593465).

106771335 is a wasteful number, since it uses less digits than its factorization.

106771335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647118.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 106771335 is about 10333.0215813188. The cubic root of 106771335 is about 474.4075124267.

The spelling of 106771335 in words is "one hundred six million, seven hundred seventy-one thousand, three hundred thirty-five".