106020801 has 24 divisors (see below), whose sum is σ = 155399400. Its totient is φ = 69647616.

The previous prime is 106020787. The next prime is 106020809. The reversal of 106020801 is 108020601.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 70308225 = 5976^2 + 8385^2 .

It is not a de Polignac number, because 106020801 - 2⁵ = 106020769 is a prime.

It is a super-2 number, since 2×106020801² = 22480820489363202, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106020809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231765 + ... + 232221.

It is an arithmetic number, because the mean of its divisors is an integer number (6474975).

Almost surely, 2^106020801 is an apocalyptic number.

It is an amenable number.

106020801 is a deficient number, since it is larger than the sum of its proper divisors (49378599).

106020801 is a wasteful number, since it uses less digits than its factorization.

106020801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106020801 is about 10296.6402772943. The cubic root of 106020801 is about 473.2933041046.

The spelling of 106020801 in words is "one hundred six million, twenty thousand, eight hundred one".