100434000745 has 16 divisors (see below), whose sum is σ = 134267207760. Its totient is φ = 71609174784.

The previous prime is 100434000743. The next prime is 100434000763. The reversal of 100434000745 is 547000434001.

100434000745 = 224091² + 224092².

It can be written as a sum of positive squares in 8 ways, for example, as 2008742761 + 98425257984 = 44819^2 + 313728^2 .

It is a cyclic number.

It is not a de Polignac number, because 100434000745 - 2¹ = 100434000743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100434000743) 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, 26638434 + ... + 26642203.

It is an arithmetic number, because the mean of its divisors is an integer number (8391700485).

Almost surely, 2^100434000745 is an apocalyptic number.

100434000745 is the 224092-nd centered square number.

It is an amenable number.

100434000745 is a deficient number, since it is larger than the sum of its proper divisors (33833207015).

100434000745 is a wasteful number, since it uses less digits than its factorization.

100434000745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53280684.

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 100434000745 its reverse (547000434001), we get a palindrome (647434434746).

The spelling of 100434000745 in words is "one hundred billion, four hundred thirty-four million, seven hundred forty-five", and thus it is an aban number.