1052105307 has 32 divisors (see below), whose sum is σ = 1602878976. Its totient is φ = 607622400.

The previous prime is 1052105251. The next prime is 1052105321. The reversal of 1052105307 is 7035012501.

It is not a de Polignac number, because 1052105307 - 2²⁶ = 984996443 is a prime.

It is a super-2 number, since 2×1052105307² = 2213851154035128498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052105347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210813 + ... + 215745.

It is an arithmetic number, because the mean of its divisors is an integer number (50089968).

Almost surely, 2^1052105307 is an apocalyptic number.

1052105307 is a deficient number, since it is larger than the sum of its proper divisors (550773669).

1052105307 is a wasteful number, since it uses less digits than its factorization.

1052105307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 1052105307 is about 32436.1728167797. The cubic root of 1052105307 is about 1017.0752132592.

Adding to 1052105307 its reverse (7035012501), we get a palindrome (8087117808).

The spelling of 1052105307 in words is "one billion, fifty-two million, one hundred five thousand, three hundred seven".