106109619 has 24 divisors (see below), whose sum is σ = 177730560. Its totient is φ = 55120560.

The previous prime is 106109617. The next prime is 106109639. The reversal of 106109619 is 916901601.

It is not a de Polignac number, because 106109619 - 2¹ = 106109617 is a prime.

It is a super-2 number, since 2×106109619² = 22518502488650322, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106109619.

It is not an unprimeable number, because it can be changed into a prime (106109617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18339 + ... + 23420.

It is an arithmetic number, because the mean of its divisors is an integer number (7405440).

Almost surely, 2^106109619 is an apocalyptic number.

106109619 is a deficient number, since it is larger than the sum of its proper divisors (71620941).

106109619 is a wasteful number, since it uses less digits than its factorization.

106109619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41791 (or 41780 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 106109619 is about 10300.9523346145. The cubic root of 106109619 is about 473.4254329920.

The spelling of 106109619 in words is "one hundred six million, one hundred nine thousand, six hundred nineteen".