100133020 has 24 divisors (see below), whose sum is σ = 226455264. Its totient is φ = 36972096.

The previous prime is 100132999. The next prime is 100133081. The reversal of 100133020 is 20331001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100132988 and 100133006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 192304 + ... + 192823.

It is an arithmetic number, because the mean of its divisors is an integer number (9435636).

Almost surely, 2^100133020 is an apocalyptic number.

100133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133020 is an abundant number, since it is smaller than the sum of its proper divisors (126322244).

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

100133020 is a wasteful number, since it uses less digits than its factorization.

100133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385149 (or 385147 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 100133020 is about 10006.6487896798. The cubic root of 100133020 is about 464.3646002222.

Adding to 100133020 its reverse (20331001), we get a palindrome (120464021).

The spelling of 100133020 in words is "one hundred million, one hundred thirty-three thousand, twenty".