106005010623 has 8 divisors (see below), whose sum is σ = 141342249600. Its totient is φ = 70668889368.

The previous prime is 106005010561. The next prime is 106005010627. The reversal of 106005010623 is 326010500601.

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

It is not a de Polignac number, because 106005010623 - 2¹³ = 106005002431 is a prime.

It is a super-2 number, since 2×106005010623² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005010593 and 106005010602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005010627) 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 7 ways as a sum of consecutive naturals, for example, 25053 + ... + 461126.

It is an arithmetic number, because the mean of its divisors is an integer number (17667781200).

Almost surely, 2^106005010623 is an apocalyptic number.

106005010623 is a deficient number, since it is larger than the sum of its proper divisors (35337238977).

106005010623 is an equidigital number, since it uses as much as digits as its factorization.

106005010623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558861.

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 106005010623 in words is "one hundred six billion, five million, ten thousand, six hundred twenty-three".