1157261105 has 64 divisors (see below), whose sum is σ = 1896652800. Its totient is φ = 654462720.

The previous prime is 1157261089. The next prime is 1157261113. The reversal of 1157261105 is 5011627511.

It is not a de Polignac number, because 1157261105 - 2⁴ = 1157261089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293336 + ... + 297254.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^1157261105 is an apocalyptic number.

It is an amenable number.

1157261105 is a deficient number, since it is larger than the sum of its proper divisors (739391695).

1157261105 is a wasteful number, since it uses less digits than its factorization.

1157261105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014.

The product of its (nonzero) digits is 2100, while the sum is 29.

The square root of 1157261105 is about 34018.5406065575. The cubic root of 1157261105 is about 1049.8899673057.

Adding to 1157261105 its reverse (5011627511), we get a palindrome (6168888616).

It can be divided in two parts, 1157 and 261105, that added together give a palindrome (262262).

The spelling of 1157261105 in words is "one billion, one hundred fifty-seven million, two hundred sixty-one thousand, one hundred five".