1075105307 has 32 divisors (see below), whose sum is σ = 1189140480. Its totient is φ = 969091200.

The previous prime is 1075105301. The next prime is 1075105331. The reversal of 1075105307 is 7035015701.

It is not a de Polignac number, because 1075105307 - 2⁶ = 1075105243 is a prime.

It is a super-2 number, since 2×1075105307² = 2311702842279128498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1075105307.

It is not an unprimeable number, because it can be changed into a prime (1075105301) 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, 4694669 + ... + 4694897.

It is an arithmetic number, because the mean of its divisors is an integer number (37160640).

Almost surely, 2^1075105307 is an apocalyptic number.

1075105307 is a deficient number, since it is larger than the sum of its proper divisors (114035173).

1075105307 is a wasteful number, since it uses less digits than its factorization.

1075105307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 1075105307 is about 32788.7984988776. The cubic root of 1075105307 is about 1024.4332562353.

The spelling of 1075105307 in words is "one billion, seventy-five million, one hundred five thousand, three hundred seven".