1034134101 has 128 divisors (see below), whose sum is σ = 2086318080. Its totient is φ = 488851200.

The previous prime is 1034134093. The next prime is 1034134117. The reversal of 1034134101 is 1014314301.

It is not a de Polignac number, because 1034134101 - 2³ = 1034134093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034134151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2243011 + ... + 2243471.

It is an arithmetic number, because the mean of its divisors is an integer number (16299360).

Almost surely, 2^1034134101 is an apocalyptic number.

1034134101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034134101 is an abundant number, since it is smaller than the sum of its proper divisors (1052183979).

1034134101 is a wasteful number, since it uses less digits than its factorization.

1034134101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1034134101 is about 32157.9554853850. The cubic root of 1034134101 is about 1011.2509745066.

Adding to 1034134101 its reverse (1014314301), we get a palindrome (2048448402).

The spelling of 1034134101 in words is "one billion, thirty-four million, one hundred thirty-four thousand, one hundred one".