1057011105 has 16 divisors (see below), whose sum is σ = 1694995200. Its totient is φ = 562480128.

The previous prime is 1057011103. The next prime is 1057011113. The reversal of 1057011105 is 5011107501.

It is a happy number.

It is not a de Polignac number, because 1057011105 - 2¹ = 1057011103 is a prime.

It is a super-2 number, since 2×1057011105² = 2234544952186642050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057011103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71737 + ... + 85206.

It is an arithmetic number, because the mean of its divisors is an integer number (105937200).

Almost surely, 2^1057011105 is an apocalyptic number.

1057011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057011105 is a deficient number, since it is larger than the sum of its proper divisors (637984095).

1057011105 is a wasteful number, since it uses less digits than its factorization.

1057011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157400.

The product of its (nonzero) digits is 175, while the sum is 21.

The square root of 1057011105 is about 32511.7071990998. The cubic root of 1057011105 is about 1018.6535820025.

Adding to 1057011105 its reverse (5011107501), we get a palindrome (6068118606).

The spelling of 1057011105 in words is "one billion, fifty-seven million, eleven thousand, one hundred five".