106420608 has 256 divisors, whose sum is σ = 370137600. Its totient is φ = 29472768.

The previous prime is 106420607. The next prime is 106420619. The reversal of 106420608 is 806024601.

106420608 is a `hidden beast` number, since 10 + 6 + 42 + 0 + 608 = 666.

It is a super-2 number, since 2×106420608² = 22650691614179328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106420603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1282135 + ... + 1282217.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^106420608 is an apocalyptic number.

106420608 is a gapful number since it is divisible by the number (18) 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 106420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

106420608 is an abundant number, since it is smaller than the sum of its proper divisors (263716992).

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

106420608 is an equidigital number, since it uses as much as digits as its factorization.

106420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106420608 is about 10316.0364481714. The cubic root of 106420608 is about 473.8874913230.

The spelling of 106420608 in words is "one hundred six million, four hundred twenty thousand, six hundred eight".