106109091 has 36 divisors (see below), whose sum is σ = 176524920. Its totient is φ = 60903360.

The previous prime is 106109089. The next prime is 106109099. The reversal of 106109091 is 190901601.

It is not a de Polignac number, because 106109091 - 2¹ = 106109089 is a prime.

It is a super-2 number, since 2×106109091² = 22518278385692562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106109099) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34255 + ... + 37223.

It is an arithmetic number, because the mean of its divisors is an integer number (4903470).

Almost surely, 2^106109091 is an apocalyptic number.

106109091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106109091 is a deficient number, since it is larger than the sum of its proper divisors (70415829).

106109091 is a wasteful number, since it uses less digits than its factorization.

106109091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 106109091 is about 10300.9267058843. The cubic root of 106109091 is about 473.4246477379.

It can be divided in two parts, 10610 and 9091, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 106109091 in words is "one hundred six million, one hundred nine thousand, ninety-one".