100034001 has 32 divisors (see below), whose sum is σ = 160289280. Its totient is φ = 61417728.

The previous prime is 100033919. The next prime is 100034003. The reversal of 100034001 is 100430001.

It is not a de Polignac number, because 100034001 - 2⁷ = 100033873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19255 + ... + 23891.

It is an arithmetic number, because the mean of its divisors is an integer number (5009040).

Almost surely, 2^100034001 is an apocalyptic number.

It is an amenable number.

100034001 is a deficient number, since it is larger than the sum of its proper divisors (60255279).

100034001 is a wasteful number, since it uses less digits than its factorization.

100034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100034001 is about 10001.6999055161. The cubic root of 100034001 is about 464.2114836208.

Adding to 100034001 its reverse (100430001), we get a palindrome (200464002).

The spelling of 100034001 in words is "one hundred million, thirty-four thousand, one".