106325120 has 96 divisors (see below), whose sum is σ = 279595260. Its totient is φ = 38635520.

The previous prime is 106325117. The next prime is 106325129. The reversal of 106325120 is 21523601.

It can be written as a sum of positive squares in 2 ways, for example, as 98883136 + 7441984 = 9944^2 + 2728^2 .

It is a super-2 number, since 2×106325120² = 22610062286028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 106325092 and 106325101.

It is not an unprimeable number, because it can be changed into a prime (106325129) 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, 76754 + ... + 78126.

Almost surely, 2^106325120 is an apocalyptic number.

106325120 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 106325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139797630).

106325120 is an abundant number, since it is smaller than the sum of its proper divisors (173270140).

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

106325120 is a wasteful number, since it uses less digits than its factorization.

106325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106325120 is about 10311.4072754401. The cubic root of 106325120 is about 473.7457139287.

Adding to 106325120 its reverse (21523601), we get a palindrome (127848721).

The spelling of 106325120 in words is "one hundred six million, three hundred twenty-five thousand, one hundred twenty".