106790011801 has 12 divisors (see below), whose sum is σ = 117491530212. Its totient is φ = 96990212000.

The previous prime is 106790011777. The next prime is 106790011807. The reversal of 106790011801 is 108110097601.

It can be written as a sum of positive squares in 2 ways, for example, as 92172960000 + 14617051801 = 303600^2 + 120901^2 .

It is not a de Polignac number, because 106790011801 - 2⁷ = 106790011673 is a prime.

It is a super-2 number, since 2×106790011801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106790011807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287530 + ... + 544291.

It is an arithmetic number, because the mean of its divisors is an integer number (9790960851).

Almost surely, 2^106790011801 is an apocalyptic number.

106790011801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106790011801 is a deficient number, since it is larger than the sum of its proper divisors (10701518411).

106790011801 is a wasteful number, since it uses less digits than its factorization.

106790011801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832904 (or 832893 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

It can be divided in two parts, 1067900 and 11801, that added together give a palindrome (1079701).

The spelling of 106790011801 in words is "one hundred six billion, seven hundred ninety million, eleven thousand, eight hundred one".