106409388562849 has 4 divisors (see below), whose sum is σ = 106410511202436. Its totient is φ = 106408265923264.

The previous prime is 106409388562817. The next prime is 106409388562859. The reversal of 106409388562849 is 948265883904601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16921704960000 + 89487683602849 = 4113600^2 + 9459793^2 .

It is a cyclic number.

It is not a de Polignac number, because 106409388562849 - 2⁵ = 106409388562817 is a prime.

It is a super-3 number, since 3×106409388562849³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106409388562859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 561177604 + ... + 561367189.

It is an arithmetic number, because the mean of its divisors is an integer number (26602627800609).

Almost surely, 2^{106409388562849} is an apocalyptic number.

It is an amenable number.

106409388562849 is a deficient number, since it is larger than the sum of its proper divisors (1122639587).

106409388562849 is an equidigital number, since it uses as much as digits as its factorization.

106409388562849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122639586.

The product of its (nonzero) digits is 716636160, while the sum is 73.

The spelling of 106409388562849 in words is "one hundred six trillion, four hundred nine billion, three hundred eighty-eight million, five hundred sixty-two thousand, eight hundred forty-nine".