1003212105 has 64 divisors (see below), whose sum is σ = 1894164480. Its totient is φ = 443925504.

The previous prime is 1003212101. The next prime is 1003212113. The reversal of 1003212105 is 5012123001.

It is not a de Polignac number, because 1003212105 - 2² = 1003212101 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 (1003212101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413857 + ... + 416273.

It is an arithmetic number, because the mean of its divisors is an integer number (29596320).

Almost surely, 2^1003212105 is an apocalyptic number.

1003212105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003212105 is a deficient number, since it is larger than the sum of its proper divisors (890952375).

1003212105 is a wasteful number, since it uses less digits than its factorization.

1003212105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1003212105 is about 31673.5237225036. The cubic root of 1003212105 is about 1001.0695573060.

Adding to 1003212105 its reverse (5012123001), we get a palindrome (6015335106).

The spelling of 1003212105 in words is "one billion, three million, two hundred twelve thousand, one hundred five".