5105735100 has 144 divisors (see below), whose sum is σ = 17278060800. Its totient is φ = 1289856960.

The previous prime is 5105735093. The next prime is 5105735101. The reversal of 5105735100 is 15375015.

It is a super-2 number, since 2×5105735100² = 52137061822744020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105735101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537 + ... + 101063.

Almost surely, 2^5105735100 is an apocalyptic number.

5105735100 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 5105735100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639030400).

5105735100 is an abundant number, since it is smaller than the sum of its proper divisors (12172325700).

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

5105735100 is a wasteful number, since it uses less digits than its factorization.

5105735100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99569 (or 99556 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 5105735100 is about 71454.4267348077. The cubic root of 5105735100 is about 1721.9455967467.

The spelling of 5105735100 in words is "five billion, one hundred five million, seven hundred thirty-five thousand, one hundred".