106396848 has 40 divisors (see below), whose sum is σ = 305399600. Its totient is φ = 35465472.

The previous prime is 106396817. The next prime is 106396879. The reversal of 106396848 is 848693601.

106396848 is a `hidden beast` number, since 1 + 0 + 639 + 6 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (106396817) and next prime (106396879).

It is a super-2 number, since 2×106396848² = 22640578528670208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122713 + ... + 123576.

It is an arithmetic number, because the mean of its divisors is an integer number (7634990).

Almost surely, 2^106396848 is an apocalyptic number.

106396848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106396848 is an abundant number, since it is smaller than the sum of its proper divisors (199002752).

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

106396848 is a wasteful number, since it uses less digits than its factorization.

106396848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246306 (or 246294 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106396848 is about 10314.8847788039. The cubic root of 106396848 is about 473.8522211967.

The spelling of 106396848 in words is "one hundred six million, three hundred ninety-six thousand, eight hundred forty-eight".