5135102100 has 108 divisors (see below), whose sum is σ = 16289853216. Its totient is φ = 1352842560.

The previous prime is 5135102099. The next prime is 5135102179. The reversal of 5135102100 is 12015315.

5135102100 is a `hidden beast` number, since 51 + 3 + 510 + 2 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40329 + ... + 109071.

Almost surely, 2^5135102100 is an apocalyptic number.

5135102100 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 5135102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144926608).

5135102100 is an abundant number, since it is smaller than the sum of its proper divisors (11154751116).

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

5135102100 is a wasteful number, since it uses less digits than its factorization.

5135102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68846 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5135102100 is about 71659.6267084891. The cubic root of 5135102100 is about 1725.2406973517.

Adding to 5135102100 its reverse (12015315), we get a palindrome (5147117415).

The spelling of 5135102100 in words is "five billion, one hundred thirty-five million, one hundred two thousand, one hundred".