1006101105 has 16 divisors (see below), whose sum is σ = 1612328064. Its totient is φ = 535731840.

The previous prime is 1006101101. The next prime is 1006101133. The reversal of 1006101105 is 5011016001.

It is not a de Polignac number, because 1006101105 - 2² = 1006101101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1006101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43684 + ... + 62613.

It is an arithmetic number, because the mean of its divisors is an integer number (100770504).

Almost surely, 2^1006101105 is an apocalyptic number.

1006101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006101105 is a deficient number, since it is larger than the sum of its proper divisors (606226959).

1006101105 is a wasteful number, since it uses less digits than its factorization.

1006101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106936.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1006101105 is about 31719.0968503203. The cubic root of 1006101105 is about 1002.0295796862.

Adding to 1006101105 its reverse (5011016001), we get a palindrome (6017117106).

The spelling of 1006101105 in words is "one billion, six million, one hundred one thousand, one hundred five".