100033056 has 60 divisors (see below), whose sum is σ = 294202062. Its totient is φ = 33343488.

The previous prime is 100033027. The next prime is 100033057. The reversal of 100033056 is 650330001.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 22240656 = 8820^2 + 4716^2 .

It is a super-2 number, since 2×100033056² = 20013224585398272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100033057) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16705 + ... + 21888.

Almost surely, 2^100033056 is an apocalyptic number.

100033056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100033056 is an abundant number, since it is smaller than the sum of its proper divisors (194169006).

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

100033056 is an equidigital number, since it uses as much as digits as its factorization.

100033056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38615 (or 38598 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 100033056 is about 10001.6526634352. The cubic root of 100033056 is about 464.2100218471.

Adding to 100033056 its reverse (650330001), we get a palindrome (750363057).

The spelling of 100033056 in words is "one hundred million, thirty-three thousand, fifty-six".