1071105101 has 32 divisors (see below), whose sum is σ = 1243662336. Its totient is φ = 913000000.

The previous prime is 1071105097. The next prime is 1071105127. The reversal of 1071105101 is 1015011701.

It is a happy number.

It is not a de Polignac number, because 1071105101 - 2² = 1071105097 is a prime.

It is a super-2 number, since 2×1071105101² = 2294532274776440402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1071105101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071105181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4267226 + ... + 4267476.

It is an arithmetic number, because the mean of its divisors is an integer number (38864448).

Almost surely, 2^1071105101 is an apocalyptic number.

1071105101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1071105101 is a deficient number, since it is larger than the sum of its proper divisors (172557235).

1071105101 is a wasteful number, since it uses less digits than its factorization.

1071105101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 35, while the sum is 17.

The square root of 1071105101 is about 32727.7420699932. The cubic root of 1071105101 is about 1023.1611212954.

Adding to 1071105101 its reverse (1015011701), we get a palindrome (2086116802).

It can be divided in two parts, 107110 and 5101, that added together give a palindrome (112211).

The spelling of 1071105101 in words is "one billion, seventy-one million, one hundred five thousand, one hundred one".