5309400100 has 72 divisors (see below), whose sum is σ = 11927014400. Its totient is φ = 2049909120.

The previous prime is 5309400091. The next prime is 5309400113. The reversal of 5309400100 is 10049035.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464251 + ... + 475549.

Almost surely, 2^5309400100 is an apocalyptic number.

5309400100 is a gapful number since it is divisible by the number (50) 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 5309400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963507200).

5309400100 is an abundant number, since it is smaller than the sum of its proper divisors (6617614300).

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

5309400100 is a wasteful number, since it uses less digits than its factorization.

5309400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5309400100 is about 72865.6304439892. The cubic root of 5309400100 is about 1744.5435597899.

Adding to 5309400100 its reverse (10049035), we get a palindrome (5319449135).

The spelling of 5309400100 in words is "five billion, three hundred nine million, four hundred thousand, one hundred".