106005116503 has 32 divisors (see below), whose sum is σ = 125748124992. Its totient is φ = 88826855040.

The previous prime is 106005116501. The next prime is 106005116543. The reversal of 106005116503 is 305611500601.

It is not a de Polignac number, because 106005116503 - 2¹ = 106005116501 is a prime.

It is a super-2 number, since 2×106005116503² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005116501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13094325 + ... + 13102417.

It is an arithmetic number, because the mean of its divisors is an integer number (3929628906).

Almost surely, 2^106005116503 is an apocalyptic number.

106005116503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106005116503 is a deficient number, since it is larger than the sum of its proper divisors (19743008489).

106005116503 is an equidigital number, since it uses as much as digits as its factorization.

106005116503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 106005116503 in words is "one hundred six billion, five million, one hundred sixteen thousand, five hundred three".