106005605501 has 8 divisors (see below), whose sum is σ = 112249944504. Its totient is φ = 99762234880.

The previous prime is 106005605483. The next prime is 106005605509. The reversal of 106005605501 is 105506500601.

It can be written as a sum of positive squares in 4 ways, for example, as 47709917476 + 58295688025 = 218426^2 + 241445^2 .

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 106005605501 - 2⁶ = 106005605437 is a prime.

It is a super-2 number, since 2×106005605501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005605509) 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, 10370 + ... + 460563.

It is an arithmetic number, because the mean of its divisors is an integer number (14031243063).

Almost surely, 2^106005605501 is an apocalyptic number.

It is an amenable number.

106005605501 is a deficient number, since it is larger than the sum of its proper divisors (6244339003).

106005605501 is a wasteful number, since it uses less digits than its factorization.

106005605501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484191.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 106005605501 in words is "one hundred six billion, five million, six hundred five thousand, five hundred one".