100334880 has 72 divisors (see below), whose sum is σ = 342397692. Its totient is φ = 26755584.

The previous prime is 100334851. The next prime is 100334891. The reversal of 100334880 is 88433001.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 16941456 = 9132^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100334880² = 20134176289228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33399 + ... + 36278.

Almost surely, 2^100334880 is an apocalyptic number.

100334880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100334880 is an abundant number, since it is smaller than the sum of its proper divisors (242062812).

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

100334880 is a wasteful number, since it uses less digits than its factorization.

100334880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69698 (or 69687 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100334880 is about 10016.7300053461. The cubic root of 100334880 is about 464.6764311587.

Adding to 100334880 its reverse (88433001), we get a palindrome (188767881).

The spelling of 100334880 in words is "one hundred million, three hundred thirty-four thousand, eight hundred eighty".