106345008 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 26231040.

The previous prime is 106344991. The next prime is 106345039. The reversal of 106345008 is 800543601.

It is a super-2 number, since 2×106345008² = 22618521453040128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765003 + ... + 765141.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^106345008 is an apocalyptic number.

106345008 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 106345008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

106345008 is an abundant number, since it is smaller than the sum of its proper divisors (293629392).

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

106345008 is a wasteful number, since it uses less digits than its factorization.

106345008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106345008 is about 10312.3715992006. The cubic root of 106345008 is about 473.7752499636.

Adding to 106345008 its reverse (800543601), we get a palindrome (906888609).

The spelling of 106345008 in words is "one hundred six million, three hundred forty-five thousand, eight".