1010010105 has 24 divisors (see below), whose sum is σ = 1885353288. Its totient is φ = 497235456.

The previous prime is 1010010091. The next prime is 1010010143. The reversal of 1010010105 is 5010100101.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 982258281 = 5268^2 + 31341^2 .

It is not a de Polignac number, because 1010010105 - 2⁵ = 1010010073 is a prime.

It is a super-2 number, since 2×1010010105² = 2040240824404222050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862672 + ... + 863841.

It is an arithmetic number, because the mean of its divisors is an integer number (78556387).

Almost surely, 2^1010010105 is an apocalyptic number.

1010010105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010010105 is a deficient number, since it is larger than the sum of its proper divisors (875343183).

1010010105 is a wasteful number, since it uses less digits than its factorization.

1010010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726537 (or 1726534 counting only the distinct ones).

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

The square root of 1010010105 is about 31780.6561448942. The cubic root of 1010010105 is about 1003.3256295942.

Adding to 1010010105 its reverse (5010100101), we get a palindrome (6020110206).

The spelling of 1010010105 in words is "one billion, ten million, ten thousand, one hundred five".