106617020 has 48 divisors (see below), whose sum is σ = 229110336. Its totient is φ = 41664000.

The previous prime is 106617001. The next prime is 106617089. The reversal of 106617020 is 20716601.

It is a super-2 number, since 2×106617020² = 22734377907360800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342665 + ... + 342975.

It is an arithmetic number, because the mean of its divisors is an integer number (4773132).

Almost surely, 2^106617020 is an apocalyptic number.

106617020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106617020 is an abundant number, since it is smaller than the sum of its proper divisors (122493316).

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

106617020 is a wasteful number, since it uses less digits than its factorization.

106617020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106617020 is about 10325.5518012356. The cubic root of 106617020 is about 474.1788508903.

The spelling of 106617020 in words is "one hundred six million, six hundred seventeen thousand, twenty".