106789648 has 40 divisors (see below), whose sum is σ = 250376832. Its totient is φ = 43074048.

The previous prime is 106789619. The next prime is 106789649. The reversal of 106789648 is 846987601.

It is a super-2 number, since 2×106789648² = 22808057839927808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106789649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26140 + ... + 29947.

Almost surely, 2^106789648 is an apocalyptic number.

It is an amenable number.

106789648 is an abundant number, since it is smaller than the sum of its proper divisors (143587184).

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

106789648 is a wasteful number, since it uses less digits than its factorization.

106789648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56119 (or 56113 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 106789648 is about 10333.9076829629. The cubic root of 106789648 is about 474.4346337139.

The spelling of 106789648 in words is "one hundred six million, seven hundred eighty-nine thousand, six hundred forty-eight".