106865928 has 192 divisors, whose sum is σ = 335462400. Its totient is φ = 30481920.

The previous prime is 106865917. The next prime is 106865939. The reversal of 106865928 is 829568601.

It is an interprime number because it is at equal distance from previous prime (106865917) and next prime (106865939).

It is a super-2 number, since 2×106865928² = 22840653134602368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841401 + ... + 841527.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^106865928 is an apocalyptic number.

106865928 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 106865928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

106865928 is an abundant number, since it is smaller than the sum of its proper divisors (228596472).

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

106865928 is a wasteful number, since it uses less digits than its factorization.

106865928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106865928 is about 10337.5977867201. The cubic root of 106865928 is about 474.5475699430.

The spelling of 106865928 in words is "one hundred six million, eight hundred sixty-five thousand, nine hundred twenty-eight".