106806801 has 16 divisors (see below), whose sum is σ = 151066944. Its totient is φ = 66891264.

The previous prime is 106806781. The next prime is 106806803. The reversal of 106806801 is 108608601.

It is not a de Polignac number, because 106806801 - 2⁶ = 106806737 is a prime.

It is a super-2 number, since 2×106806801² = 22815385479707202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106806803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31165 + ... + 34421.

It is an arithmetic number, because the mean of its divisors is an integer number (9441684).

Almost surely, 2^106806801 is an apocalyptic number.

It is an amenable number.

106806801 is a deficient number, since it is larger than the sum of its proper divisors (44260143).

106806801 is a wasteful number, since it uses less digits than its factorization.

106806801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 106806801 is about 10334.7375873798. The cubic root of 106806801 is about 474.4600342458.

The spelling of 106806801 in words is "one hundred six million, eight hundred six thousand, eight hundred one".