106084896 has 48 divisors (see below), whose sum is σ = 294858144. Its totient is φ = 33281024.

The previous prime is 106084877. The next prime is 106084897. The reversal of 106084896 is 698480601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106084896² = 22508010318661632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106084897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30870 + ... + 34133.

It is an arithmetic number, because the mean of its divisors is an integer number (6142878).

Almost surely, 2^106084896 is an apocalyptic number.

106084896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106084896 is an abundant number, since it is smaller than the sum of its proper divisors (188773248).

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

106084896 is a wasteful number, since it uses less digits than its factorization.

106084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65033 (or 65025 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106084896 is about 10299.7522300296. The cubic root of 106084896 is about 473.3886615656.

The spelling of 106084896 in words is "one hundred six million, eighty-four thousand, eight hundred ninety-six".