106455959809 has 8 divisors (see below), whose sum is σ = 108470992680. Its totient is φ = 104449632000.

The previous prime is 106455959783. The next prime is 106455959833. The reversal of 106455959809 is 908959554601.

It can be written as a sum of positive squares in 4 ways, for example, as 41773228225 + 64682731584 = 204385^2 + 254328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106455959809 - 2¹⁷ = 106455828737 is a prime.

It is a super-2 number, since 2×106455959809² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106455959899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2151574 + ... + 2200495.

It is an arithmetic number, because the mean of its divisors is an integer number (13558874085).

Almost surely, 2^106455959809 is an apocalyptic number.

It is an amenable number.

106455959809 is a deficient number, since it is larger than the sum of its proper divisors (2015032871).

106455959809 is an equidigital number, since it uses as much as digits as its factorization.

106455959809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352531.

The product of its (nonzero) digits is 17496000, while the sum is 61.

The spelling of 106455959809 in words is "one hundred six billion, four hundred fifty-five million, nine hundred fifty-nine thousand, eight hundred nine".