1001010105 has 24 divisors (see below), whose sum is σ = 1737714888. Its totient is φ = 533062656.

The previous prime is 1001010103. The next prime is 1001010113. The reversal of 1001010105 is 5010101001.

1001010105 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 167417721 + 833592384 = 12939^2 + 28872^2 .

It is not a de Polignac number, because 1001010105 - 2¹ = 1001010103 is a prime.

It is a super-2 number, since 2×1001010105² = 2004042460624222050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13759 + ... + 46811.

It is an arithmetic number, because the mean of its divisors is an integer number (72404787).

Almost surely, 2^1001010105 is an apocalyptic number.

1001010105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001010105 is a deficient number, since it is larger than the sum of its proper divisors (736704783).

1001010105 is a wasteful number, since it uses less digits than its factorization.

1001010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33737 (or 33734 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1001010105 is about 31638.7437329613. The cubic root of 1001010105 is about 1000.3365883622.

Adding to 1001010105 its reverse (5010101001), we get a palindrome (6011111106).

The spelling of 1001010105 in words is "one billion, one million, ten thousand, one hundred five".