1010105005 has 32 divisors (see below), whose sum is σ = 1520031744. Its totient is φ = 627284736.

The previous prime is 1010104943. The next prime is 1010105021. The reversal of 1010105005 is 5005010101.

It is not a de Polignac number, because 1010105005 - 2⁹ = 1010104493 is a prime.

It is a super-2 number, since 2×1010105005² = 2040624242252100050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172 + ... + 45058.

It is an arithmetic number, because the mean of its divisors is an integer number (47500992).

Almost surely, 2^1010105005 is an apocalyptic number.

It is an amenable number.

1010105005 is a deficient number, since it is larger than the sum of its proper divisors (509926739).

1010105005 is a wasteful number, since it uses less digits than its factorization.

1010105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41965.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 1010105005 is about 31782.1491564054. The cubic root of 1010105005 is about 1003.3570525868.

Adding to 1010105005 its reverse (5005010101), we get a palindrome (6015115106).

The spelling of 1010105005 in words is "one billion, ten million, one hundred five thousand, five".