100433124 has 72 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 30179520.

The previous prime is 100433117. The next prime is 100433131. The reversal of 100433124 is 421334001.

It is an interprime number because it is at equal distance from previous prime (100433117) and next prime (100433131).

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

It is a junction number, because it is equal to n+sod(n) for n = 100433097 and 100433106.

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 23 ways as a sum of consecutive naturals, for example, 49294 + ... + 51290.

It is an arithmetic number, because the mean of its divisors is an integer number (3878784).

Almost surely, 2^100433124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100433124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

100433124 is an abundant number, since it is smaller than the sum of its proper divisors (178839324).

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

100433124 is a wasteful number, since it uses less digits than its factorization.

100433124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100433124 is about 10021.6328010958. The cubic root of 100433124 is about 464.8280460284.

Adding to 100433124 its reverse (421334001), we get a palindrome (521767125).

The spelling of 100433124 in words is "one hundred million, four hundred thirty-three thousand, one hundred twenty-four".