24028100100 has 81 divisors (see below), whose sum is σ = 75329323797. Its totient is φ = 6406253280.

The previous prime is 24028100071. The next prime is 24028100137. The reversal of 24028100100 is 100182042.

The square root of 24028100100 is 155010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8650116036 + 15377984064 = 93006^2 + 124008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4647717 + ... + 4652883.

Almost surely, 2^24028100100 is an apocalyptic number.

24028100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24028100100 is the 155010-th square number.

It is an amenable number.

24028100100 is an abundant number, since it is smaller than the sum of its proper divisors (51301223697).

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

24028100100 is an equidigital number, since it uses as much as digits as its factorization.

24028100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 24028100100 its reverse (100182042), we get a palindrome (24128282142).

The spelling of 24028100100 in words is "twenty-four billion, twenty-eight million, one hundred thousand, one hundred".