106305648 has 40 divisors (see below), whose sum is σ = 284096400. Its totient is φ = 34212864.

The previous prime is 106305643. The next prime is 106305649. The reversal of 106305648 is 846503601.

It is a super-2 number, since 2×106305648² = 22601781593399808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106305643) 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, 36793 + ... + 39576.

It is an arithmetic number, because the mean of its divisors is an integer number (7102410).

Almost surely, 2^106305648 is an apocalyptic number.

It is an amenable number.

106305648 is an abundant number, since it is smaller than the sum of its proper divisors (177790752).

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

106305648 is a wasteful number, since it uses less digits than its factorization.

106305648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76409 (or 76403 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106305648 is about 10310.4630351891. The cubic root of 106305648 is about 473.7167921344.

It can be divided in two parts, 106305 and 648, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 106305648 in words is "one hundred six million, three hundred five thousand, six hundred forty-eight".