106516550 has 48 divisors (see below), whose sum is σ = 227461632. Its totient is φ = 36352800.

The previous prime is 106516549. The next prime is 106516559. The reversal of 106516550 is 55615601.

It is a super-2 number, since 2×106516550² = 22691550847805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106516559) 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 23 ways as a sum of consecutive naturals, for example, 94289 + ... + 95411.

It is an arithmetic number, because the mean of its divisors is an integer number (4738784).

Almost surely, 2^106516550 is an apocalyptic number.

106516550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106516550 is an abundant number, since it is smaller than the sum of its proper divisors (120945082).

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

106516550 is a wasteful number, since it uses less digits than its factorization.

106516550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 106516550 is about 10320.6855392459. The cubic root of 106516550 is about 474.0298574129.

The spelling of 106516550 in words is "one hundred six million, five hundred sixteen thousand, five hundred fifty".