100824330 has 32 divisors (see below), whose sum is σ = 247883328. Its totient is φ = 26230400.

The previous prime is 100824319. The next prime is 100824337. The reversal of 100824330 is 33428001.

It is a happy number.

It is a super-4 number, since 4×100824330⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100824297 and 100824306.

It is not an unprimeable number, because it can be changed into a prime (100824337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39756 + ... + 42215.

It is an arithmetic number, because the mean of its divisors is an integer number (7746354).

Almost surely, 2^100824330 is an apocalyptic number.

100824330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100824330 is an abundant number, since it is smaller than the sum of its proper divisors (147058998).

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

100824330 is a wasteful number, since it uses less digits than its factorization.

100824330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82022.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 100824330 is about 10041.1319083060. The cubic root of 100824330 is about 465.4307951282.

The spelling of 100824330 in words is "one hundred million, eight hundred twenty-four thousand, three hundred thirty".