100033572 has 12 divisors (see below), whose sum is σ = 233411696. Its totient is φ = 33344520.

The previous prime is 100033567. The next prime is 100033573. The reversal of 100033572 is 275330001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (100033573) by changing a digit.

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, 4168054 + ... + 4168077.

Almost surely, 2^100033572 is an apocalyptic number.

100033572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100033572 is an abundant number, since it is smaller than the sum of its proper divisors (133378124).

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

100033572 is a wasteful number, since it uses less digits than its factorization.

100033572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336138 (or 8336136 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 100033572 is about 10001.6784591387. The cubic root of 100033572 is about 464.2108200231.

Adding to 100033572 its reverse (275330001), we get a palindrome (375363573).

The spelling of 100033572 in words is "one hundred million, thirty-three thousand, five hundred seventy-two".