106517620 has 24 divisors (see below), whose sum is σ = 244022688. Its totient is φ = 38733600.

The previous prime is 106517611. The next prime is 106517627. The reversal of 106517620 is 26715601.

It is a super-2 number, since 2×106517620² = 22692006740928800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106517627) by changing a digit.

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, 241866 + ... + 242305.

It is an arithmetic number, because the mean of its divisors is an integer number (10167612).

Almost surely, 2^106517620 is an apocalyptic number.

106517620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106517620 is an abundant number, since it is smaller than the sum of its proper divisors (137505068).

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

106517620 is a wasteful number, since it uses less digits than its factorization.

106517620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484191 (or 484189 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 106517620 is about 10320.7373767575. The cubic root of 106517620 is about 474.0314446788.

The spelling of 106517620 in words is "one hundred six million, five hundred seventeen thousand, six hundred twenty".