106019928 has 224 divisors, whose sum is σ = 354132000. Its totient is φ = 29719872.

The previous prime is 106019923. The next prime is 106019957. The reversal of 106019928 is 829910601.

It is a super-2 number, since 2×106019928² = 22480450266250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106019892 and 106019901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106019923) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2000350 + ... + 2000402.

Almost surely, 2^106019928 is an apocalyptic number.

106019928 is a gapful number since it is divisible by the number (18) 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 106019928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177066000).

106019928 is an abundant number, since it is smaller than the sum of its proper divisors (248112072).

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

106019928 is an frugal number, since it uses more digits than its factorization.

106019928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 106019928 is about 10296.5978847384. The cubic root of 106019928 is about 473.2920050319.

The spelling of 106019928 in words is "one hundred six million, nineteen thousand, nine hundred twenty-eight".