106321120 has 24 divisors (see below), whose sum is σ = 251184024. Its totient is φ = 42528384.

The previous prime is 106321099. The next prime is 106321121. The reversal of 106321120 is 21123601.

It is a super-2 number, since 2×106321120² = 22608361116108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 106321094 and 106321103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332094 + ... + 332413.

It is an arithmetic number, because the mean of its divisors is an integer number (10466001).

Almost surely, 2^106321120 is an apocalyptic number.

106321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106321120 is an abundant number, since it is smaller than the sum of its proper divisors (144862904).

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

106321120 is an equidigital number, since it uses as much as digits as its factorization.

106321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664522 (or 664514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106321120 is about 10311.2133136697. The cubic root of 106321120 is about 473.7397730102.

Adding to 106321120 its reverse (21123601), we get a palindrome (127444721).

The spelling of 106321120 in words is "one hundred six million, three hundred twenty-one thousand, one hundred twenty".