100305024 has 128 divisors (see below), whose sum is σ = 285828480. Its totient is φ = 31088640.

The previous prime is 100305013. The next prime is 100305053. The reversal of 100305024 is 420503001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100305024² = 20122195679281152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100304994 and 100305012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361974 + ... + 362250.

It is an arithmetic number, because the mean of its divisors is an integer number (2233035).

Almost surely, 2^100305024 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 100305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142914240).

100305024 is an abundant number, since it is smaller than the sum of its proper divisors (185523456).

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

100305024 is a wasteful number, since it uses less digits than its factorization.

100305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100305024 is about 10015.2395877483. The cubic root of 100305024 is about 464.6303363349.

Adding to 100305024 its reverse (420503001), we get a palindrome (520808025).

The spelling of 100305024 in words is "one hundred million, three hundred five thousand, twenty-four".