5172105400 has 192 divisors, whose sum is σ = 15061178880. Its totient is φ = 1604697600.

The previous prime is 5172105391. The next prime is 5172105439. The reversal of 5172105400 is 45012715.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 4049562 + ... + 4050838.

It is an arithmetic number, because the mean of its divisors is an integer number (78443640).

Almost surely, 2^5172105400 is an apocalyptic number.

5172105400 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 5172105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530589440).

5172105400 is an abundant number, since it is smaller than the sum of its proper divisors (9889073480).

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

5172105400 is a wasteful number, since it uses less digits than its factorization.

5172105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 5172105400 is about 71917.3511748034. The cubic root of 5172105400 is about 1729.3747838215.

The spelling of 5172105400 in words is "five billion, one hundred seventy-two million, one hundred five thousand, four hundred".