106753320 has 96 divisors (see below), whose sum is σ = 350438400. Its totient is φ = 28181376.

The previous prime is 106753313. The next prime is 106753331. The reversal of 106753320 is 23357601.

It is a happy number.

106753320 is a `hidden beast` number, since 106 + 7 + 533 + 20 = 666.

It is a super-2 number, since 2×106753320² = 22792542662044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35641 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2^106753320 is an apocalyptic number.

106753320 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 106753320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

106753320 is an abundant number, since it is smaller than the sum of its proper divisors (243685080).

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

106753320 is a wasteful number, since it uses less digits than its factorization.

106753320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106753320 is about 10332.1498246977. The cubic root of 106753320 is about 474.3808294471.

The spelling of 106753320 in words is "one hundred six million, seven hundred fifty-three thousand, three hundred twenty".