106052320 has 48 divisors (see below), whose sum is σ = 273330288. Its totient is φ = 38563840.

The previous prime is 106052299. The next prime is 106052329. The reversal of 106052320 is 23250601.

It is a happy number.

It is a super-2 number, since 2×106052320² = 22494189154764800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106052329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28369 + ... + 31888.

It is an arithmetic number, because the mean of its divisors is an integer number (5694381).

Almost surely, 2^106052320 is an apocalyptic number.

106052320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106052320 is an abundant number, since it is smaller than the sum of its proper divisors (167277968).

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

106052320 is a wasteful number, since it uses less digits than its factorization.

106052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60283 (or 60275 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 106052320 is about 10298.1707113448. The cubic root of 106052320 is about 473.3402013595.

The spelling of 106052320 in words is "one hundred six million, fifty-two thousand, three hundred twenty".