100034100 has 54 divisors (see below), whose sum is σ = 313554150. Its totient is φ = 26675520.

The previous prime is 100034071. The next prime is 100034111. The reversal of 100034100 is 1430001.

It can be written as a sum of positive squares in 3 ways, for example, as 5788836 + 94245264 = 2406^2 + 9708^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54675 + ... + 56474.

Almost surely, 2^100034100 is an apocalyptic number.

100034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034100 is an abundant number, since it is smaller than the sum of its proper divisors (213520050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100034100 is a wasteful number, since it uses less digits than its factorization.

100034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111169 (or 111159 counting only the distinct ones).

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

The square root of 100034100 is about 10001.7048546735. The cubic root of 100034100 is about 464.2116367585.

Adding to 100034100 its reverse (1430001), we get a palindrome (101464101).

The spelling of 100034100 in words is "one hundred million, thirty-four thousand, one hundred".