106050320 has 40 divisors (see below), whose sum is σ = 248228160. Its totient is φ = 42134400.

The previous prime is 106050319. The next prime is 106050331. The reversal of 106050320 is 23050601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106050320² = 22493340744204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7691 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (6205704).

Almost surely, 2^106050320 is an apocalyptic number.

106050320 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 106050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124114080).

106050320 is an abundant number, since it is smaller than the sum of its proper divisors (142177840).

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

106050320 is a wasteful number, since it uses less digits than its factorization.

106050320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8943 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 106050320 is about 10298.0736062625. The cubic root of 106050320 is about 473.3372258271.

The spelling of 106050320 in words is "one hundred six million, fifty thousand, three hundred twenty".