106416219 has 32 divisors (see below), whose sum is σ = 175440384. Its totient is φ = 55872000.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416219 is 912614601.

It is a happy number.

It is not a de Polignac number, because 106416219 - 2⁷ = 106416091 is a prime.

It is a super-2 number, since 2×106416219² = 22648823332511922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106416229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67747 + ... + 69299.

It is an arithmetic number, because the mean of its divisors is an integer number (5482512).

Almost surely, 2^106416219 is an apocalyptic number.

106416219 is a deficient number, since it is larger than the sum of its proper divisors (69024165).

106416219 is a wasteful number, since it uses less digits than its factorization.

106416219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 106416219 is about 10315.8237189281. The cubic root of 106416219 is about 473.8809765422.

The spelling of 106416219 in words is "one hundred six million, four hundred sixteen thousand, two hundred nineteen".