106801890 has 64 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 25788672.

The previous prime is 106801879. The next prime is 106801897. The reversal of 106801890 is 98108601.

It is a super-2 number, since 2×106801890² = 22813287415144200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106801897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18087 + ... + 23253.

It is an arithmetic number, because the mean of its divisors is an integer number (4395384).

Almost surely, 2^106801890 is an apocalyptic number.

106801890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10334×10335.

It is a practical number, because each smaller number is the sum of distinct divisors of 106801890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

106801890 is an abundant number, since it is smaller than the sum of its proper divisors (174502686).

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

106801890 is a wasteful number, since it uses less digits than its factorization.

106801890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243.

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 106801890 is about 10334.4999879046. The cubic root of 106801890 is about 474.4527622091.

The spelling of 106801890 in words is "one hundred six million, eight hundred one thousand, eight hundred ninety".