100433120 has 48 divisors (see below), whose sum is σ = 238902048. Its totient is φ = 39897600.

The previous prime is 100433117. The next prime is 100433131. The reversal of 100433120 is 21334001.

It is a junction number, because it is equal to n+sod(n) for n = 100433095 and 100433104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22082 + ... + 26238.

It is an arithmetic number, because the mean of its divisors is an integer number (4977126).

Almost surely, 2^100433120 is an apocalyptic number.

100433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119451024).

100433120 is an abundant number, since it is smaller than the sum of its proper divisors (138468928).

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

100433120 is a wasteful number, since it uses less digits than its factorization.

100433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100433120 is about 10021.6326015276. The cubic root of 100433120 is about 464.8280398574.

Adding to 100433120 its reverse (21334001), we get a palindrome (121767121).

The spelling of 100433120 in words is "one hundred million, four hundred thirty-three thousand, one hundred twenty".