106546416 has 40 divisors (see below), whose sum is σ = 275614800. Its totient is φ = 35467776.

The previous prime is 106546409. The next prime is 106546459. The reversal of 106546416 is 614645601.

It is a happy number.

It is a super-2 number, since 2×106546416² = 22704277524890112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68010 + ... + 69558.

It is an arithmetic number, because the mean of its divisors is an integer number (6890370).

Almost surely, 2^106546416 is an apocalyptic number.

106546416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106546416 is an abundant number, since it is smaller than the sum of its proper divisors (169068384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106546416 is a wasteful number, since it uses less digits than its factorization.

106546416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106546416 is about 10322.1323378457. The cubic root of 106546416 is about 474.0741574231.

The spelling of 106546416 in words is "one hundred six million, five hundred forty-six thousand, four hundred sixteen".