106772611 has 12 divisors (see below), whose sum is σ = 117983160. Its totient is φ = 95828480.

The previous prime is 106772599. The next prime is 106772641. The reversal of 106772611 is 116277601.

It is not a de Polignac number, because 106772611 - 2²⁵ = 73218179 is a prime.

It is a super-3 number, since 3×106772611³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106772641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75075 + ... + 76483.

It is an arithmetic number, because the mean of its divisors is an integer number (9831930).

Almost surely, 2^106772611 is an apocalyptic number.

106772611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106772611 is a deficient number, since it is larger than the sum of its proper divisors (11210549).

106772611 is an equidigital number, since it uses as much as digits as its factorization.

106772611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 106772611 is about 10333.0833249326. The cubic root of 106772611 is about 474.4094022647.

The spelling of 106772611 in words is "one hundred six million, seven hundred seventy-two thousand, six hundred eleven".