1000105101 has 12 divisors (see below), whose sum is σ = 1445295228. Its totient is φ = 666414144.

The previous prime is 1000105013. The next prime is 1000105129. The reversal of 1000105101 is 1015010001.

It can be written as a sum of positive squares in 2 ways, for example, as 195021225 + 805083876 = 13965^2 + 28374^2 .

It is not a de Polignac number, because 1000105101 - 2¹⁷ = 999974029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000105501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6430 + ... + 45183.

It is an arithmetic number, because the mean of its divisors is an integer number (120441269).

Almost surely, 2^1000105101 is an apocalyptic number.

It is an amenable number.

1000105101 is a deficient number, since it is larger than the sum of its proper divisors (445190127).

1000105101 is a wasteful number, since it uses less digits than its factorization.

1000105101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53772 (or 53769 counting only the distinct ones).

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

The square root of 1000105101 is about 31624.4383507439. The cubic root of 1000105101 is about 1000.0350324394.

Adding to 1000105101 its reverse (1015010001), we get a palindrome (2015115102).

It can be divided in two parts, 100010 and 5101, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1000105101 in words is "one billion, one hundred five thousand, one hundred one".