106010320 has 60 divisors (see below), whose sum is σ = 266925996. Its totient is φ = 39137280.

The previous prime is 106010299. The next prime is 106010321. The reversal of 106010320 is 23010601.

It can be written as a sum of positive squares in 6 ways, for example, as 27793984 + 78216336 = 5272^2 + 8844^2 .

It is a super-2 number, since 2×106010320² = 22476375893004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 106010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 17440.

Almost surely, 2^106010320 is an apocalyptic number.

106010320 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 106010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133462998).

106010320 is an abundant number, since it is smaller than the sum of its proper divisors (160915676).

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

106010320 is a wasteful number, since it uses less digits than its factorization.

106010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 106010320 is about 10296.1313122940. The cubic root of 106010320 is about 473.2777073206.

Adding to 106010320 its reverse (23010601), we get a palindrome (129020921).

The spelling of 106010320 in words is "one hundred six million, ten thousand, three hundred twenty".