106894920 has 128 divisors (see below), whose sum is σ = 357488640. Its totient is φ = 25347840.

The previous prime is 106894889. The next prime is 106894927. The reversal of 106894920 is 29498601.

It is a Cunningham number, because it is equal to 10339²-1.

It is a super-2 number, since 2×106894920² = 22853047843612800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106894927) 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 31 ways as a sum of consecutive naturals, for example, 61179 + ... + 62901.

It is an arithmetic number, because the mean of its divisors is an integer number (2792880).

Almost surely, 2^106894920 is an apocalyptic number.

106894920 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 106894920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178744320).

106894920 is an abundant number, since it is smaller than the sum of its proper divisors (250593720).

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

106894920 is a wasteful number, since it uses less digits than its factorization.

106894920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 106894920 is about 10338.9999516394. Note that the first 4 decimals coincide. The cubic root of 106894920 is about 474.5904799064.

The spelling of 106894920 in words is "one hundred six million, eight hundred ninety-four thousand, nine hundred twenty".