106897920 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 27525120.

The previous prime is 106897919. The next prime is 106897927. The reversal of 106897920 is 29798601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106897920² = 22854330600652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106897927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237856 + ... + 238304.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^106897920 is an apocalyptic number.

106897920 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 106897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

106897920 is an abundant number, since it is smaller than the sum of its proper divisors (246650880).

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

106897920 is an equidigital number, since it uses as much as digits as its factorization.

106897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 106897920 is about 10339.1450323516. The cubic root of 106897920 is about 474.5949196500.

The spelling of 106897920 in words is "one hundred six million, eight hundred ninety-seven thousand, nine hundred twenty".