106578688 has 54 divisors (see below), whose sum is σ = 222675404. Its totient is φ = 50907648.

The previous prime is 106578673. The next prime is 106578701. The reversal of 106578688 is 886875601.

It is a super-2 number, since 2×106578688² = 22718033471602688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135031 + ... + 135817.

Almost surely, 2^106578688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111337702).

106578688 is an abundant number, since it is smaller than the sum of its proper divisors (116096716).

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

106578688 is an frugal number, since it uses more digits than its factorization.

106578688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 106578688 is about 10323.6954623817. The cubic root of 106578688 is about 474.1220169300.

The spelling of 106578688 in words is "one hundred six million, five hundred seventy-eight thousand, six hundred eighty-eight".