1106106015 has 32 divisors (see below), whose sum is σ = 2052794880. Its totient is φ = 498098304.

The previous prime is 1106106011. The next prime is 1106106019. The reversal of 1106106015 is 5106016011.

It is an interprime number because it is at equal distance from previous prime (1106106011) and next prime (1106106019).

It is not a de Polignac number, because 1106106015 - 2² = 1106106011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1106105982 and 1106106000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106106011) 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 31 ways as a sum of consecutive naturals, for example, 71580 + ... + 85649.

It is an arithmetic number, because the mean of its divisors is an integer number (64149840).

Almost surely, 2^1106106015 is an apocalyptic number.

1106106015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1106106015 is a deficient number, since it is larger than the sum of its proper divisors (946688865).

1106106015 is a wasteful number, since it uses less digits than its factorization.

1106106015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157311.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1106106015 is about 33258.1721536226. The cubic root of 1106106015 is about 1034.1866278794.

The spelling of 1106106015 in words is "one billion, one hundred six million, one hundred six thousand, fifteen".