106408120 has 256 divisors, whose sum is σ = 325140480. Its totient is φ = 30412800.

The previous prime is 106408111. The next prime is 106408123. The reversal of 106408120 is 21804601.

It is a super-2 number, since 2×106408120² = 22645376003868800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106408091 and 106408100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106408123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2595300 + ... + 2595340.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^106408120 is an apocalyptic number.

106408120 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 106408120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

106408120 is an abundant number, since it is smaller than the sum of its proper divisors (218732360).

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

106408120 is a wasteful number, since it uses less digits than its factorization.

106408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 106408120 is about 10315.4311591906. The cubic root of 106408120 is about 473.8689543792.

The spelling of 106408120 in words is "one hundred six million, four hundred eight thousand, one hundred twenty".