100034080 has 24 divisors (see below), whose sum is σ = 236330892. Its totient is φ = 40013568.

The previous prime is 100034071. The next prime is 100034111. The reversal of 100034080 is 80430001.

It can be written as a sum of positive squares in 2 ways, for example, as 97061904 + 2972176 = 9852^2 + 1724^2 .

It is a super-2 number, since 2×100034080² = 20013634322892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312447 + ... + 312766.

Almost surely, 2^100034080 is an apocalyptic number.

100034080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034080 is an abundant number, since it is smaller than the sum of its proper divisors (136296812).

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

100034080 is an equidigital number, since it uses as much as digits as its factorization.

100034080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625228 (or 625220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100034080 is about 10001.7038548439. The cubic root of 100034080 is about 464.2116058216.

Adding to 100034080 its reverse (80430001), we get a palindrome (180464081).

The spelling of 100034080 in words is "one hundred million, thirty-four thousand, eighty".