106106416 has 20 divisors (see below), whose sum is σ = 221395552. Its totient is φ = 48972096.

The previous prime is 106106411. The next prime is 106106467. The reversal of 106106416 is 614601601.

It is a super-2 number, since 2×106106416² = 22517143032730112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254856 + ... + 255271.

Almost surely, 2^106106416 is an apocalyptic number.

106106416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106106416 is an abundant number, since it is smaller than the sum of its proper divisors (115289136).

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

106106416 is a wasteful number, since it uses less digits than its factorization.

106106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510148 (or 510142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 106106416 is about 10300.7968623791. The cubic root of 106106416 is about 473.4206693745.

The spelling of 106106416 in words is "one hundred six million, one hundred six thousand, four hundred sixteen".