106068704 has 48 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 45297024.

The previous prime is 106068673. The next prime is 106068719. The reversal of 106068704 is 407860601.

It is a super-2 number, since 2×106068704² = 22501139936479232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79757 + ... + 81075.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2^106068704 is an apocalyptic number.

106068704 is a gapful number since it is divisible by the number (14) 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 106068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

106068704 is an abundant number, since it is smaller than the sum of its proper divisors (133432096).

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

106068704 is a wasteful number, since it uses less digits than its factorization.

106068704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106068704 is about 10298.9661617077. The cubic root of 106068704 is about 473.3645755128.

The spelling of 106068704 in words is "one hundred six million, sixty-eight thousand, seven hundred four".