106620920 has 64 divisors (see below), whose sum is σ = 275728320. Its totient is φ = 36347904.

The previous prime is 106620911. The next prime is 106620967. The reversal of 106620920 is 29026601.

It is a super-2 number, since 2×106620920² = 22736041163292800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106620920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53054 + ... + 55026.

It is an arithmetic number, because the mean of its divisors is an integer number (4308255).

Almost surely, 2^106620920 is an apocalyptic number.

106620920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137864160).

106620920 is an abundant number, since it is smaller than the sum of its proper divisors (169107400).

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

106620920 is a wasteful number, since it uses less digits than its factorization.

106620920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106620920 is about 10325.7406514012. The cubic root of 106620920 is about 474.1846325655.

The spelling of 106620920 in words is "one hundred six million, six hundred twenty thousand, nine hundred twenty".