106803928 has 192 divisors, whose sum is σ = 283668480. Its totient is φ = 37094400.

The previous prime is 106803923. The next prime is 106803929. The reversal of 106803928 is 829308601.

It is a super-2 number, since 2×106803928² = 22814158072458368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272401 + ... + 2272447.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 2^106803928 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 106803928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

106803928 is an abundant number, since it is smaller than the sum of its proper divisors (176864552).

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

106803928 is a wasteful number, since it uses less digits than its factorization.

106803928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 106803928 is about 10334.5985892051. The cubic root of 106803928 is about 474.4557800351.

The spelling of 106803928 in words is "one hundred six million, eight hundred three thousand, nine hundred twenty-eight".