100133514 has 36 divisors (see below), whose sum is σ = 234935766. Its totient is φ = 30809376.

The previous prime is 100133471. The next prime is 100133533. The reversal of 100133514 is 415331001.

It can be written as a sum of positive squares in 3 ways, for example, as 52316289 + 47817225 = 7233^2 + 6915^2 .

It is a super-3 number, since 3×100133514³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13417 + ... + 19500.

Almost surely, 2^100133514 is an apocalyptic number.

100133514 is an abundant number, since it is smaller than the sum of its proper divisors (134802252).

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

100133514 is a wasteful number, since it uses less digits than its factorization.

100133514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32951 (or 32935 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 100133514 is about 10006.6734732377. The cubic root of 100133514 is about 464.3653638589.

Adding to 100133514 its reverse (415331001), we get a palindrome (515464515).

The spelling of 100133514 in words is "one hundred million, one hundred thirty-three thousand, five hundred fourteen".