106690899705401 has 16 divisors (see below), whose sum is σ = 116976646800000. Its totient is φ = 96502929177600.

The previous prime is 106690899705389. The next prime is 106690899705419. The reversal of 106690899705401 is 104507998096601.

It is not a de Polignac number, because 106690899705401 - 2³⁴ = 106673719836217 is a prime.

It is a super-2 number, since 2×106690899705401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106690899705491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168782591 + ... + 169413531.

It is an arithmetic number, because the mean of its divisors is an integer number (7311040425000).

Almost surely, 2^{106690899705401} is an apocalyptic number.

106690899705401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106690899705401 is a deficient number, since it is larger than the sum of its proper divisors (10285747094599).

106690899705401 is a wasteful number, since it uses less digits than its factorization.

106690899705401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708400.

The product of its (nonzero) digits is 29393280, while the sum is 65.

The spelling of 106690899705401 in words is "one hundred six trillion, six hundred ninety billion, eight hundred ninety-nine million, seven hundred five thousand, four hundred one".